there is no problem running larger width tires on a 7 inch rim, but the rubbing will be your issue.
1977 Cherokee ChiefEdelbrock 1406, 33X12.50, front 1.5 inch shackle lift. AMC 360, th400 Quadra-Trac
2002 wrangler, stock 4.0, auto, 33X12.50 maxis buckshot, AEV Highline Body kit, Ford 9 inch rear end.
Soon to come mods: 4" full traction lift, 4.56 gears, 35X10.50R15 boggers, 35X12.50 cooper st tires, spooled rear end, and much more.