Using TV inverter to power fridge while towing Do or don't?

Simplest way is to run the refer on propane while on the road. There is nothing wrong or dangerous using propane to run the refer while on the road.

Also, depending on how long you are on the road, there might not be a reason to power the refer. Contrary to popular beliefs, the refer will keep things cold and frozen for hours without power of any kind.

Normal travel times on the road are about 10 hours max.Unless you are in and out of the refer on a constant basis, you are good.