We tow my TJ behind our MH with 8.1 Chevy with no problems and did so with camper too. My wife's JK is not set up for towing. It is heavier (about 4600 dry) so close to our 5k rating but legal. Others with same set up say they have no problem towing the JK which is about the same weight as your built Jeep. Your Class C with a V10 would be about the same power as ours with less weight to move so I think you'd be fine. If worried look for rating for 6500 or more. Flat towing is easy. Not sure why you want to use a trailer or dolly.