Welcome! I agree with the others that you should be fine with that TV/TT combination. Be sure to engage your Tow Mode when you have the trailer hooked up - I too have a Tundra, and while the truck handles the trailer okay without using Tow Mode, it's significantly better with it, especially from a stop and when hitting hills.
Rob & Kelly, Bella & Brady (Miniature Schnauzers)
2016 Eagle 323LKTS
2016 Ram 2500 6.7L CTD
2015 White Hawk 29REKS Summit Edition (Traded)