What does your owners manual say? If you don't have one get one. Motorhome magazine has towing guides as does FMCA. But don't flat tow any car unless the manual says it's OK or you have equipment installed to make it OK like drive shaft disconnect or transmission lube pump.
There are many posts on these boards on this subject. Some like a dolly, others like a trailer. Both should have brakes. Setup both arriving and leaving are more involved plus storage of the extra unit. And you must have the capacity for the extra towing weight.
Flat towing means that you need the tow bar, base plate and most likely auxiliary brakes to be legal. Especially considering all of the states you travel through.
We bought our 04 CRV new and set it up to tow. MH mounted adjustable tow bar and box brake. Over the years we converted to the Roadmaster All Terrain tow bar and Invsibrake. Now so much easier and quicker to hook up or unhook.
Probably $2500+ new for our setup. You might find used equipment BUT the base plate must fit your car. A used dolly or trailer is another option.
Backing up a trailer or dolly might be hard but it's doable. You cannot backup a flat tow as the caster will turn the wheels and bend the tow bar.
Lots to consider. :@