Let me be the one to really really surprise you.

285/75R16 which is a 32.83" under my 05 right now. Even the spare fits! (with no trailer hitch)

As for rubbing, poke around this forum and you will see where my front tires slightly rub under mid steer, but as for stuffing in the wheel wells, no problems. Perhaps when you disconnect the rear sway bar, which I haven't needed to yet and will once the lift is here you may get some slight rubbage... but I would say 33s fit nicely.