I towed a 31' 7600lbs tt with my old '07 Tundra. Pulled effortlessly, actually did a better job than my '14 Ram 2500 does.
I was quick to run out of payload with the crewmax (1310lbs) but with the higher payload in the double cab you should be just fine as long as you don't plan on loading the cab and bed as well.
Get a good trans cooler, class iv hitch if not already equipped, a good WD hitch and brake controller and you should be good to go.
p.s. Contrary to popular belief on here, the Tundra is a 1/2 ton truck ( a very stout one) not a 1/4 ton.
