There are no 2007+ SUVs I would tow that TT with given the dry TW. If there were another TT at 7k dry and under 800 pounds TW, I'd have no problems using my 2011 Suburban 2500.
If you are committed to that TT, then 3/4 ton pickup as dedicated TV is a reasonable solution. So is a later model 1-ton van, but they do not come equipped with very much equipment compared to pickup and SUV offerings.
If you like GM, then I recommend a 2007.5+ 6.0L/6-spd. It's powertrain is pretty much the same used in 2015 models. It's reasonably efficient, powerful, and dead reliable. For Ford, V10 or 6.2L starting in 2011. Skip the 5.4L.