I've fit 32X11.5 Wildcat M/T's (at least those were the dimensions on paper).
Stock suspension. So rubbing that I can recall.
The springs were original, but the fact that it was an 1981 truck with 80,000km may give a little more clearance.
You should have good luck with the narrow (9 or 10 inch wide) 33's or 34's. If there is any rubbing, it should be something you could deal with by adding one or more thin spacers to your bumpstops.
Maybe more to the point, is you'll positively effect your top-speed, but negatively effect your crawl ratio.
Gearing/tire-wise; I'm making due with my 3B/4.11's/4-speed H42 with 35's (SOA). The highway 'overdrive' is nice, but it's begging for lower diff gears (and a 5-speed, and a turbo, and a crawler box.... but i digress...)