Um, I'd suggest looking anywhere but the radio/GPS section for that sort of information. The Tire/Wheel section comes to mind... Schlud, care to move this?
Anyway, 32x11.50-15 is about as big as you can comfortably fit with no lift, just trimming. Or if you have the SE w/ 16" wheels, 265/75-16 (32x10.50) or 275/70-16 (a bit shorter/narrower than 32x11.0) is it. This is on OEM wheels, aftermarket ones can make even a 31" tire rub after trimming.