Hello AFC,
The biggest most used aftermarket tire in use today for 3rd gen dodges is the BFG 315/70/17 ATKO. This tire is the OE tire for the Hummer H2. It can be had for a resonable price for a 35inch tire. (usually between $125-160) The are being used by many on this forum with no to minimal rubbing. I put them on w/ no lift and they worked great. I have since installed a KORE 2. 5 inch suspension lift and they look better. See my readers rigs for pics Please not that this is with stock rims. Almost all aftermarket rims don't have the proper backspacing and will rub. Member Greg Boardman is running 37/12. 5/17 MTR's with a 2. 5 inch lift and gets minimal rubbing. He runs this truck way harder than you can imagine(80 mph thru woops)
you wil get somewhat more wear an tear with larger tires but if you use stock or KORE Weld wheels(the only aftermarket wheel specifically designed for our trucks) this will be minimal.
Hope this answers your questions
Best regards
DD