Depending on the model of '06' Tundra you have, the tow rating ranges from 5,000lbs to a maximum of 7,100lbs. Also, keep in mind that published Tow Ratings are based on the TV's "curb weight" which only includes a 150lb driver and a full tank of fuel. The combined weights of the TV's options, passengers, and cargo must be subtracted from the Tow Rating.
The 2011 Jay Flight 28BHS has a UVW of 5,305lbs and a GVWR of 7,500lbs. The ship weight would be about 5,555lbs, add another 150lbs for dealer items (battery, hitch, etc.) and thats about 5,705lbs off the dealer lot. Figure about 700lbs for cargo and "stuff" (no liquids) and the 28BHS would have a "loaded weight" of 6,405lbs (based on assumed weights).
IMO, even if you have the Tundra with the 7,100lb tow rating you may be pushing the TV's weight limits, but doesn't mean it's not a doable tow if set-up correctly and within TV/TT weight limits. Anything less than a 7,100lb tow rating IMO the TV's weight limits could very easily be exceeded.
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