With all due respect to everybody who replied to the OP's inquiry, maybe I missed it, but not one person addressed the critical issue at play here---payload/tongue weight.
Why is everybody addressing the weight of their TT?? Many Tundras are rated to tow over 10,000 lbs. Tow weight is a non-issue.
Most 2007-2016 Tundra's have 1400-1500 lbs. of payload in the realworld (not in a brochure). Subtract 175 lbs. for a passenger, then another 150 lbs. for odds and ends (accessories, tools, etc.), another 75 lbs. for the WDH---that leaves one with approx. 1000 lbs. of payload remaining. This is a very conservative number. For a typical family of 4 with gear (inside and in the bed), remaining payload could easily be as low as 500-800 lbs.
Has anybody calculated their TT's tongue weight using a CAT scale? IMO, that's the kind of info the OP would find useful.