I tow our TT with a 2010 Toyota Sequoia. Power will never be an issue, but as others have said, it will absolutely max out this SUV when loaded for more than one reason.
Would I ever tow something that large and heavy with it? Yes. But only for a few in state, half day driving type distances, TOPS. For 3 seasons I towed with a mid-size SUV at max capacity, which compares to this discussion well. Power was not an issue, long distance comfort was the problem because we wanted to start national trips.
I'd look at Suburban size SUV's only if you're set on that trailer.