My two brothers moved a 10' x 12' storage shed about 40 miles by getting a rented U-Haul trailer, used a single farm jack to jack up one side, put blocks under it, jack up the other side a bit, put blocks under it, go back to the first side, and repeat the procedure until it was high enough they could simply back the trailer under it, then let it down onto the side rails of the trailer.
Of course, there was no way it was legal, but the trip was almost entirely on farm-to-market roads and they didn't get caught.