It sounds like it could go either way... but like Crabman, Clutch and Js'stoy mentioned, best to hook it up and take it for a spin on some hilly road. Keep it at least 25 miles and see how it feels. If it struggles, keep in mind that you will probably add alot more weight to the TT as you furnish it with all the necessities...Good Luck and i really hope your truck works out for you.
2005 Jay Flight 27BH
2008 Toyota Tundra Crew Max