I tow a hemisphere 272rlis 2014.
My truck,, 2011 SR5 Tundra 4X4,,5.7 4:10 gear approx. 420 torque w/tow package.
Installed leveling kit (2") extra leaf spring, heavy duty after mart shocks, and BF Goodrich 10 ply's (get rid of them standard P rated tires)
Hitched up to a 1000 lbs. equalizer.
My hitch weight 845lbs.,,,dry weight 6,975lbs.
Added weight,, 2 30lbs. propane tanks, battery, Yamaha 2400 gen., Rubbermaid bin full of fire wood, 38qt. 5-day cooler with full ice and Kool-Aid, two 100bls. goldens and a 160lbs. wife.
Average 8.3 to 8.5 mpg doing 63 to 68 mph on the flat land.
You should be fine with what you will be towing.
Go to the Tundra forum and ask those guys what they are towing with their Tundra's.