Todd(?),
Your Bigfoot probably is built on the E450 chassis, so your great crawling differential ratio of 4:56 in 1st and 2nd gear will still provide plenty of slow speed pulling power even when using aggressively over-stock-diameter tires on it.
Just run larger diameter tires on it so as to get 1 to 2 inches of more ground clearance.
Try to keep larger diameter tires as narrow as possible so you can stay with the stock Ford 16 inch steel rims -> if and only also if 1) you can keep decent spacing between the tires in each rear dual set so the sidewalls don't ever rub at 80 lbs. pressure and, 2) you still have full front wheel suspension clearances so as to maintain the full turning radius and, 3) all wheel well clearances are adequate so as to not allow any tire rubbing from up/down axle motions on rough road surfaces.
BTW as I may have mentioned earlier, larger diameter tires wear longer too.