tow dolly or trailer????

Assuming that you don't have a towing problem with the weight, I offer this:
The GOOD. With a trailer you can back up.
With a trailer you will probably have better brakes if it is a tandem axle.
The BAD: Greater weight means less MPG. Harder to park on site.

The GOOD. With a Tow Dolly, less weight and easier to move around a camp site by hand. better MPG.
The BAD: Can't back up but a few feet before things get out of whack.

The UGLY: Price and Tag for a trailer vs. same for Dolly
Both methods are a PITA.

Solution: Save the cost of trailer and/or dolly and trade vehicles for one you can tow 4 wheels down is what I would do. You can lock the steering wheel and back it like a trailer with very little extra wear to the front tires. You can leave the tow bar on the TOAD or the Prime Mover.

I recommend you do a Search on this subject since it has been discussed excessively.

A primary issue for towing a car trailer and vehicle is the total towing capacity of your Class C. I would be surprised if it is more than 5,000 lbs. An open trailer would weigh 1600#+ and an enclosed would be over 2200# to consider, plus the vehicle on the trailer.