Before any of my long towing trips I upgraded all 4 tires on the 5th wheel to 10 ply trailer tires (Carlisle makes them in 15" now) and the trailer seems to have less side to side sway than with the previous tires. After two blowouts of the Mission tires the trailer came with (and commensurate damage to the trailer) I needed something more sturdy. If these tires fail I guess there's no choice but to move to 16" rims and LT tires as well.
It is good to read of your exploits buddy, this truck seems well suited to towing heavy loads long distances. Keep it up!