Residental fridge compressors are terribly inefficient and pull a lot of amps.
I don't see how any inverter and battery bank would keep up in transit, the tow vehicle don't deliver that many amps to the RV in the first place.
Best bet would be to get it cold before leaving home and don't open the doors until you are on shore power again.
Why I pulled my propane electric fridge last year and installed a Dometic Waeco compressor fridge. Works excellent, draws minimal amps and keep everything cold ot frozen