Having pulled just about everything with anything, but not anything with a JK, I am still going to weigh in. I think when you are traveling for fun, with all your stuff on board, and no real flexibility in dealing with mechanical failure, one should try to shoot for the most effective tow vehicle one can put on the road, not one of the least. It is quite one thing to throw a rig and a couple of quads on a trailer with a buddy in the passenger seat and head off to a trail or a park a couple of hours away, compared to having a full complement of equipment that can't be off loaded, a wife in the passenger seat and a plan for a thousand miles of travel with a schedule along the way.
Travel trailers tow like boats with every gust of wind grabbing the thing like a sail and themselves are about as poorly constructed, axle and frame wise as anything on wheels. They are a pain to tow with a competent tow vehicle. I wouldn't consider towing that big particle board and vinyl box with anything but a real tow rig.
03 Rubicon; 99 xj with too much stuff to list; Unimog 406 (gone)