35's will fit on the truck with a 2" leveling kit but you should give the right consideration to the proper wheel backspacing or they will stick outside the body lines terribly.I have had 35's on mine for a few years and even with the proper backspacing they rubbed the front left inner fenderwell when you turned to full left lock.I fixed that by going to a longer control arm to recenter the front axle a fix the suspension geometry which also made it drive like a dream.Here is a shot of mine with the 35's from the Numidia NADM show........Andy
It really depends on the rim and the tire tread honestly. I have 285 (approx 33") TOYO MT's and they only clear the lower control arm by 3/16" and I have a 2" kit up front. the 315's rub on the OEM rim and the 2" up front.
With different rims this would likely not be a problem. There is also a difference depending on the the type of lift as well.
I run plenty of slow speed, hard turns and wasn't interested in rubbing so...