Does your fridge not work on propane? If it could use propane instead of electricity it would save a lot of the electricity requirement.
You can easily find out if the battery isolator (preventing the engine and house batteries being connected while the engine is not running) is reducing the charging voltage at the house batteries. Just connect a wire from the input terminal to the output terminal of the isolator and see if the charging voltage increases. I have a small class C that uses the Ford auxiliary battery relay in the engine fuse box as the isolator. Last summer I pulled it out and replaced it with a piece of wire. I put it back when boondocking for a few days. It's purpose is to prevent the house from discharging the engine battery. This system only contributes about 5 amps to charging house batteries.