Width will play into this. Are you thinking 265/75 or something like 235/85? Both are in the neighborhood of 32". I know many people who run 235/85s with a 2 or 2.5" lift (OME HD), but for a wider tire like a 265/75 or 32x10.5 then rubbing will be more of an issue.
FWIW, I run 245/75 (~ 31") with the OME HD lift. Had rubbing in the rear, then moved out the rear panels similar to how John C suggested along with some minor trimming, and now I don't get the rubbing at full flex. I'm considering changing tire sizes once I wear out this set of BFG M/Ts, so let us know how it works out. I think many of us are always curious about what tire/lift combos we can achieve...