Call the CG that you will be staying at. And/Or a CG near where you live.
Almost ALL CG's have a company they use to tow campers in and out of their CG's for campers.
Reasonably priced rates and they know what they are doing AND have the appropriated tow vehicles.
AND BTW: I have rented several of the big Ryder truck rentals that I have hitched up a car hauler to loaded with a car. They had not problem with it. I see the big and small truck rentals all the time on the road hauling car haulers for their move. They all come with substantial hitches on them.