I ran a 255/85/16 on mine for a while. Difference was 10% in the odometer/speedometer. They stayed inside the fenders and never rubbed. They were almost 3" taller than the 245 OEMs.
With all of that said, I also see that you pull a 5er. You'll have to get some help from those that tow, but how much taller can you raise the bed and still not have any interference?
FWIW, the BFG MTs were LRD tires, something like 3,000# at 50 or 60 psi.
Wheel width should also be considered with the changes you are contemplating. I could have SQUEEZED the 355s on the OEM 6. 5" whell but was afraid of wearing the center tread too quickly. They were mounted on 8" wheels.