disclaimer: I have zero experience with cherokees.
I've never understood why more of the full bodied jeeps aren't seen with 235/85-16. These come out to something like 32" x 8.5" wide. This is a great size for an expo style rig. The narrow width lets them articulate without cutting up the fenders, and they've generally got mad traction off-road. The ride can be a little bouncy because almost all of them are load range E. You'll have a good deal more clearance than with a 30" tire, and you can make them work with a very modest lift. I think a budget-boost and some extended bumpstops would probably set very well with the 235/85's.
Other options on a 16" rim are 215/85-16. these make a great ice and snow tire. And then, of course, 255/85 - a narrow 33" tire.
all of these sizes are much easier to stuff under fenders with limited options. Getting anything more than 10" or so under a full body rig is kind of difficult without huge amounts of offset.
gas > mods
D1 equal parts honkey tonk and slayer
1977 Chrysler New Yorker Brougham. Factory Sure Grip 8.75 axle. 440 big block. 4 body trunk. Tikki torches, picnic blanket, martini kit. Discount coupon stickers to the Love Shop. Refurbished hood ornament.