Best LT tires for towing a travel trailer with this truck???
Goodyear or Michelin.
Having worked at a tire shop, you don't want Mich or Goodyear. Michelins are too soft, and can create ride issues. Goodyears are not made very well, don't last long, and are horrible with grip. We once got in a new $250 top-of-the-line GDYR truck tire, and there were NO cords in it. Nice, huh? Dunlop makes good stuff, Coopers are awsome. They're tough, have great traction, almost no defects, and are a lot cheaper than almost all other name brand tires. You will not be disappointed.
I put michelin on mine and it works great
Bridgestone HL Alenza, they are wonderful tires for the Tundra and were the recommended 60k tread wear warranty tire by www.tirerack.com. I've had 2 sets on my Tundra (due to nails and screws in the first set from construction sites) and they ride great and grip well in all conditions.