probably in the front. Most ATs (except BFG ATs) don't rub in that size. But BFGs do rub because of the squared shoulder, I'd imagine most mud tires are going to be the same. Nothing some minor trimming won't fix but you will likely have to trim.
I'd search this forum, many ppl have BFG and should give you an idea what needs to be done to fit them without lift (some minor trim to splashguards I think). Good luck
I have 265/75/16 (31.6") which is essentially same diameter as the 265/70/17 (31.7");
Tire: GY Silent Armor Pro-Grade (which has slightly thicker tread)
when hard over I have slight rubbing on front wheel well liner. I haven't fixed it yet because I think it will disappear once new suspension installed.
Interestingly, I only hear a rub when backing up ... ?