They'll likely fit with minimal rubbing- side lugs on UCA at full lock. The problem will arise when you go off road. There just isn't enough room between the tire and well. It's going to feel like the tire is in the cab every time you hit a hole. How do I know this you may ask. I put 35x12.50 on a 2" level. It wasn't bad driving around the city and it looked damn good. The problem was discovered as soon as I hit my lease. Left the lease on Sunday and went to the 4x4 shop on Monday to order a 4" suspension lift. Off road with the lift is sweet.
Short answer-- will work fine for a mall crawler but obviously your truck isn't.
35x12.50's will fit if you don't have much offset, I've done it plenty of times with a 2" level.
A 9" wide rim with +12 offset is taking it to the max. It will hit the inner fender structure in the back of the front wheel well when turning and/or hitting a bump. But that can be cut away, it's behind the inner fender splash shield.
Check the tire and wheel fitment guide in the 09-14 forum.