Automobile Movers

I see more than a few dually diesel pickups pulling 3 car trailers on the interstate highways. If they have a newer truck they might be anxious to move your stuff to pay for their equipment. There are sites on the net that the truckers list their rigs and equipment and the dates and locations of their next stops; and you can bid on the cost. They don't usually get paid for hauling empty.
You need a hot shot rig with a wench. Like said, find the way the broker ads for haulers cut out the broker!