This is a long post sorry in advance:
UPDATE: I've gotten Progressive up to $9,800 plus cost of TT&L (from $7,200 flat). The adjuster finally admitted that their 3rd party valuation service, Mitchell, did not pull correct comps after I called them out on it. They re-pulled using some of the VIN numbers I had provided them earlier in the week which boosted value over $2,000. They also gave me $40 for the LED tails, $50 for the blacked out headlights and $65 for the alarm system...but still no value for the almost brand new Nitto Terra Grapplers. Makes me want to source some cheap wheels and tires off Craigslist, swap them out and sell the wheels and tires myself...at least 3 of them.
Sounds like a good deal. If they did not give you any value for tires and rims I'd take the good ones off and replace with scrap yard tires. That's me tho.
On a separate note I've only had a few experiences with accidents but here's what I learned:
The one time I used a lawyer, ended up with over 16k but that was all medical. My truck at the time would have been totaled but I convinced adjuster to make it work so I would not have to get another vehicle.
Check your policy. If you added Personal Injury Protection or PIP, then you can claim that and receive money for any injuries up to a set limit from your insurance company even if accident was not your fault. Did this for all my accidents and premiums did not go up. This is a legal form of double dipping but many people don't think to use this benefit.
If you get a vehicle repaired you can claim for diminished value of your vehicle. Basically, if your vehicle is repaired and even if it comes with a warranty, the value of the vehicle is affected because of the accident. I got a check for my work van that got rear-ended using this benefit.
If you get medical treatment, be careful what information you share with your doctor/chiropractor. My chiropractor made a comment in her written notes that there was still neck pain but wrote down something that was unrelated to accident. The other insurance company saw this and refused to pay for further treatment after that date even though pain persisted. You can also claim future medical expenses and pain and suffering but this can be subjective and insurance will fight you on this.
If you have medical appointments, and these interfere with your work you can claim lost wages and get money for that as well.
I have AFLAC through employer and that is a great benefit. It's supplemental so even though you pay for it you can submit this claim and get money for medical treatments, even if it's the other party that's at fault. This is another legal form of double dipping.
I know the OP had an 05 T4R, but if you have extended warranty and your vehicle gets totaled, you might be able to get some money back for unused portion of extended warranty. This happened to me with our Camry. Not a year old, got rear ended, car got totaled, Toyota Financing received check, then I spoke with warranty company and they had to refund unused portion of extended warranty which ended up being a little over 3k. Since car was new, low miles and still in showroom condition, gap was like less than $20 so that worked out pretty good.
Now granted, all this depends on your state insurance laws and your individual policies but I figured I would let you guys know what I've dealt with personally. In the end, the insurance companies are looking out for their bottom line and their shareholders, so they love an uneducated claimant. Read up on your state insurance laws, study up on your policies, and only give insurance company the information they ask for, never more. I'm not saying to lie or defraud but they can deny you benefits just based on info you give them that is in their favor. That's why my insurance card says in bold letters to never admit fault at an accident site!
The one time I used a lawyer, took 18 months from accident to receiving check. Injury claims take longer to settle than property damage claims, so if you receive any checks, make sure you read any fine print before you sign off or deposit money. We had an insurance company try to cut us a check for property damage that released all claims (including medical) before medical claim had been paid. Had to send certified letter requesting new check to release only claims for property and then separate check for medical. This time I did not use lawyer so it makes me wonder if they did this on purpose. Also took almost two years to get paid on this claim.
Again sorry for long-windednes, but hopefully someone can use my experiences to their benefit. Be safe out there