Rim and tire size help
 

I just recently purchased a 2012 Ford F-350 King Ranch SB SRW and am going to pick it up next week (so pumped). I originally wanted to go 22x12's on 33s or 35s but it seems you cannot go 12 wide and be able to turn your truck with out rubbing extremely bad. Apparently everyone with 22x12s has at least a 6" lift. I have found out I can go 22x10s on 33's with a 2.5 in leveling kit and it should work. I just wanted to see if anyone knew of a way to fit 22x12s without a 6" lift (I would consider something smaller) or if anyone can confirm that 22x10s will fit with just a leveling kit. Any and all advice would be greatly appreciated.