Good luck.
Lots of stories of inability-to-balance the Falken Wildpeak AT3W's. A GM friend of a National tire chain even said they were considering stopping carrying them due to too many complaints.
When they were just about the cheapest tire you could buy, they became popular. Now they aren't the price leader, but uniformity doesn't seem to have improved.
So my E-rated Falkens were not easy to balance but it was possible to get them behaving for awhile. I probably have had just as much problem with my Yokohamas being out of balance at times to be honest (debating if I should try to get them redone now with 40K miles on them or just get new tires sooner). It seems like peoples' experience has vastly varied here with some Falken sets being impossible to balance and others being pretty normal.
Your point about pricing of the Falkens is spot on though. I remember when they first came out (I think around 2016) they were probably one of the cheapest tires available in their respective sizes. I remember the E-load I bought was cheaper than quite a few P-metric tires from other manufacturers and the P-metric was downright cheap (maybe even below $150 a tire if my memory is right).
Tire prices have gone up a ton in the last 5 to 10 years, but Falken has definitely raised their prices more than some other brands. A quick sanity check of this statement shows respectable similar tires from brands including Goodyear, Hankook, and Yokohama all coming in below Falken's price.
A brilliant move upwards considering Falken was long viewed as a budget tire (I remember I had some on a rice burner in the 90s when it was one of the cheaper tires I could afford as a 18 year old kid). Now they're OEM equipment on a few brands out there I know.