Might be best to use a U-Haul thruck or van. I've seen U-Haul box trucks towing cars and small trailers when people move. U-Haul does rent pickup trucks and regular vans. Tell the insurance you want a U-Haul rental or reimburse the cost of your trip and reservations.
Several years ago someone spun out and hit the right rear tire of my SUV after we had 14 inches of snow, sending me into a guardrail doing $1600 worth of damage to the left front. I was going to pick up my old TT to bring it home since deer season was ending. I told their insurance I needed a truck or an SUV because I had to bring the trailer home. They provided me a rental pickup from Enterprise. When I went to pick it up and sign the papers they told me I couldn't tow with it. So I had a brand new Silverado extended cab to drive around and had to wait over 2 weeks untill i got my SUV back to pick up the trailer.
A couple years ago my truck broke down and I needed a vehicle for a couple days to get back and forth to work. I also needed to take a few loads to the dump in my utility trailer while i had someone available to help me. I rented a practically brand new pickup truck from U-Haul for a couple days. I was told there was no problem using it for towing.
