You will almost have to look into car haulers with living quarters.
I have been looking at toy haulers for years that have a 12'-16' garage but, yeah, they usually don't handle a Jeep's weight. But, car haulers get heavy unless you go aluminum...then they get heavy on the wallet.
I haven't spent any time looking at haulers that don't have a separate garage but there are a lot of 'em.
If your tow vehicle can handle more than 14k lbs, the availability of an appropriate hauler, car or toy, increases dramatically. I'm limited to 14k and have no interest in buying a newer diesel.
Try
Trailers and Tow Vehicles for sale on RacingJunk Classifieds - 3047 available
One thing to consider is your assumed length of ownership. If you plan to keep it, spend the money on aluminum. It will not lose much in resale value even ten years down the road and, of course, buying used will save you the initial depreciation.