I am not sure any TC with a basement on a 4x4 truck would be that low.
My TC has no basement, and my truck is a 2 wheel drive. Ground to highest point is 10'3". I do have my TC sitting on 4x4s, so I could drop it sown to about 10 feet.
My personal thought would to buy a carport to accommodate the TC and truck you have. Actually, I would go with a 14-foot door height. This of course assuming you have a place for the carport. The money you will loose trading in your current truck and TC would pay for the carport, plus in the future you will have no height restrictions.