We have the big Isotherm 130 compressor fridge, 160 watt roof panel (Overland Solar) and dual 6 volt batteries, and a 220 amp alternator in the truck. We don't sit in one place for more than a few days, but we never have any issues with power. I've always heard the 3 ways don't like to run unless level. We went camping with some friends who had a new travel trailer (they were the original buyers, and it was a few years old but had barely been used). They could not get their fridge running on propane.
Growing up, we lived in a remote cabin for a while that had no power. We relied on two old Servel propane fridges, and they were great. I like the idea of propane, but we got nervous about all the complaints so we went with the compressor fridge in our Hawk.