You’ll have to change front and rear gears. I haven't spent much research time on the topic since the change is way more expensive than I thought and more involved as well cause for the back I’ll need parts from a 2011 truck. I think the front is prob the same thing.
Knowing a thing about regearing from my previous Jeep Wrangler unlimited I bought the truck with 3.92’s already. I went from 3.21 to 4.56’s in the Jeep for $1k otd and I thought it was going to be as cheap with the RAM
I’m running 37’s with the 3.92’s and the 6 speed trans. Little more sluggish acceleration wise but fine otherwise. I’m running very light 37’s at 69lbs each and I have no regrets. My truck is about 600 or so lbs heavier than stock as well and I’m not into drag racing lol, so she manages the weight just fine. I did a calculation with the tire size and effective gearing and she’s behaving pretty much like a truck on stock tires with 3.55’s and 6 speed not optimal but I won’t spend the money to regear in my case. Best mpg fwy so far is 18Mpg with the 37’s and the extra weight, fwy only at 68-70mph. Tires calibrated with GPS and I have my own tune with HPTuners.
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RAM RSM, on Flickr
If you have the 8 speed trans, you have better gearing with 3.21's than my truck with 3.92's so you should move 35's just fine. Just make sure you keep your tires weight as light as possible. it'll take more effort to move Nitto MT tires in 35x12.5x17 at 80lbs each than Cooper STT Pro 315/70/17 at 67lbs. Visually they'll appear very similar in height.