Here is a quick explanation:
What’s a tire ply rating? | TireBuyer.com

P, or p-metric tires are usually similar to a "B" 2-4 ply construction but are not load rated, and they are designed for passenger vehicles. The load range strength refers to how much carrying capacity the tire can hold at maximum tire inflation. In general the LT (C, D, E load) have a thicker sidewall and heavier rubber construction in order to carry a heavier load. LT tires in general are overkill for the 4runner as its weight does not require their load rating. If you are off-roading a lot, especially in rocky areas, or places that are susceptible to tire puncture then an C or E Load tire will be far less likely to fail because of their increased sidewall strength. The compromise in this is that LT tires have a rougher ride and weigh more because of their stiffer and thicker construction making them harder to balance and your gas mileage will suffer.

For your stated purposes throughout this thread I believe an LT tire would not be the best for you, or if you do decide to go with an LT tire no higher than a "C" load rating. There are many members, including myself who go off-road with P-metric tires (I had my stock tires for 30,000 miles and you can click the link in my signature to see some of the stuff I did in them). I currently run the Cooper AT3's in the "C" load rating. They have been a good compromise tire for my use, but they were harder to balance.

Here was my decision making process:
Post #122
Cymon's Weekend Warrior and MFD Thread

I purchased a used 2014 SR5 about a month ago. Felt a bit of a slight steering wheel shake, on and off, but when I went on one of our 400 series highway and got up around 110 kph, the shake got bad. I took the truck back in and they said two tires on the right side had some unusual wear on the inside. They replaced them immediately and so far, the shake is gone. What I do notice is how easily this truck gets blown about in the wind, sometimes it's just not a fun drive. I'm thinking this could partially be down to the type of tires but I am used to driving heavy Land Rovers where this was never an issue. I'll be swapping out the stock Bridgestone's to Cooper Discoverer AT3 4S in the fall before snow hits. I ran AT3's on my Disco I and LR3 and found them a great tire.

Yes, they are terrible. We took them off our 2019 4runner and got some falkens. Put the duelers on my 05 frontier 2wd pickup because I needed new tires. They are fine for driving but my truck wan'ts to travel all over the road when braking at freeway speeds. Oh well, just trying to get a couple years out of that truck and then we are going to get a tacoma or tundra.

Thanks all for the replies.

I got all 4 tires road force balanced, they were all off a bit. Raised tire pressure to 35PSI to all tires. Wobble is practically gone, very minor now. However light vibrations still in the steering wheel and pedals.

At this point I give up. After dealing with it on my Tacoma also, I'm over it.

I think its minor enough now that I can live with it. Definitely last Toyota I'm ever purchasing.

I think these vehicles no matter what you do, you'll still have some vibration even if its minor.

I would ask your friend to test fit and run some all season Michelin top the line tires. Mount them, drive up the highway and see. Discount will do that for anyone.
I've owned many vehicles (near 50) over the years and oem tires are mostly junk and one of my 1st things to kick to the curb

That is a good idea. I didn't know you could do that.

I was thinking that if I did upgrade, I'd go with the Cooper AT3 4S to have a little grip when I do light offloading. Do you think these would still be better (smoother) than my stock tires even though they are AT tires?

OP, go to a tire shop that has a Hunter GSP9700 road force balancing machine and have them balance all your wheels. This takes into account the imperfections in the tire itself. I have the same vibration issue on my 18 4R and it turned out 2 of my tires were way out of balance (tires, not wheels) due to imperfections in the tire walls.

4R are very sensitive about this, I replaced all my tires and no issues 15k miles later.

Keep this in mind, every time you change tires you need to go to a place that has this machine. In my area, some Les Schwab stores have it.

I did. The discount tire I went to has it. It definitely does feel smoother now and the wobble is practically gone. However I am still having some vibrations in the steering wheel.

Crazy thing is I can feel it more on the lower part of the steering wheel as opposed to the top. If I place my hand on the lower part of the steering column, I can feel it there also.

One of my tires was at like 30 pounds, my friend brought them all down to 12 or less.

My 4S are very smooth and quiet.

I have heard that in some cases installing a (small) lift kit might fix this. Not sure, I haven't done it myself, I would be interested to know if it's true.

I was thinking of doing a 2" leveling kit, then doing an alignment. I am worried it'll actually make it worse lol

Defiantly get it fixed before a lift. Unless you have a cool dealer they will blame it on the lift and not even try to fix it.
You did just remind me of something, I normally test drive on a highway for this reason. had an 08 tacoma that shook at 80. dealer said legally he can't drive 80 nor is it safe for him to ride with me.. POS, wuss...

So took it off roading yesterday for first time and it was horrible. The feedback on the steering wheel was horrendous. Felt like I was holding a jack hammer the entire time.

Been driving it around a lot today and the wobble has disappeared thank God. Seems like the RFB did the trick. However still have vibrations on the steering wheel and some on the pedals. I also have vibration on my brake pedal almost anytime I brake.

I know it'll probably be a massive waste of time, but I'm going to take it into the dealership some time this week.

I was tempted getting some new tires put on today, but I don't want to waste my money in case I put them on and still have vibrations.

My friend first of all I feel for you. It feels horrible to have a new vehicle and deal with issues like this that don't seem to have a simple resolution. As you can tell it's happened to many of us so hopefully our stories can help you.

I had a 4th Gen 4Runner with new Goodyear Duratracs that flooded in Houston a few years ago. I sold the truck for salvage but kept the wheels/tires because they were great and had less than 15K on them. When I got my 2018 ORP I took the Duratracs off my old rims and had them mounted to my new TRD Pro rims (I sold the OEM ORP rims). Had them balanced and mounted and the first time I got up to speed I could tell there was a bad shake around 60MPH. Took them back to Discount Tire and they rebalanced them. The shake was lessened but didn't go away. I then spoke to someone about how I stored my tires during the 1.5 years they weren't used. I had them in my warehouse leaning up against a wall and that was not the way to do it. There was a chance I had warped my tires and they were possibly "out of round" due to this mistake. As a last effort attempt I took them to another tire shop, Goodyear, and had them rebalance them with weights. Again this did not work.

So I did what any fiscally irresponsible man would do and purchased a new set of KO2's. Discount tire was kind enough to waive a bunch of fees and had them mounted for about $820 all-in. They looked great and I was excited to try them out. First time on the highway I hit 60 and......you guessed it, a slight vibration remained. I was crushed! This vibration was much much less than what I felt with Duratracs but it was still there. I thought it could have been a alignment issue, and got it aligned, but that didn't fix it either. Quickly rushed back to this forum for advice and realized my only (and final) option was to get them Road Forced balanced again then deal with Toyota direct if that didn't work.

The story ends on a happy note because the secondary balance at Discount Tire worked. The shake is gone and no vibration is felt. It took me 2 weeks, multiple visits to tire shops, nearly $500 in wasted expenses but I finally have a car that drives straight and smooth. There is a solution for you out there, you just have to be diligent (seems you have been). Good luck and I sincenrely hope this gets sorted out for you. These Toyotas are way too finicky when tires are not perfectly balanced.

Thank you for taking the time to reply and share your story.

Yes I have lost a lot of sleep recently. I bought a Tacoma about a month and a half ago. It was my dream truck. Well within a month it had multiple trips to the dealership for all sorts of vibration issues. Even the tech mentioned that he felt vibration in the steering wheel and I hadn't even mentioned that to him yet as I was there for another problem.

Fast forward to the 4runner. I will say this thing is very smooth on the highway and I enjoy driving it. It is the constant steering wheel vibration that's killing me. Now keep in mind that for the most part it is very minor, however its still present all the time.

My wife and my friends keep telling me its normal and that its not bad enough to make a stink over. To an extent I agree, I am sure a lot of it is in my head. I have been hypersensitive ever since my Tacoma. Although it is very minor for the most part, is it crazy of me to think there should be zero vibration at the steering wheel? I even get vibration at the best of roads.

I am taking it into Toyota tomorrow and will have them check it out. I did have the tires road force balanced recently and it did help a lot. One of the tires was at 30 pounds. He was able to bring it down to 12.

The problem is also that I have nerve damage to both hands and anything puts my hands to sleep. The constant little buzz vibration I get keeps putting my hands to sleep.

From everything I've read, I keep seeing that these Bridgestone tires that came with my 4runner are garbage. I am most likely going to get the Cooper AT3 4S this week and I am PRAYING that this greatly improves the vibration.

Again, thank you.