You might be able to rent a UHaul
truck to tow your trailer, but it would likely be expensive.
Consider finding a friend with a truck or van and offer to rent it. You could contribute a receiver hitch, wiring and brake controller.
An alternative is carefully buying a used truck and then selling it. I know a guy whose family would buy a large used car and all pile in for vacation and then sell it when they got back. A lot depends on your negotiating skills, of course, or you might come out on the wrong ends of the deals.