I know this is an old thread but in case anyone comes across it, I just wanted to weigh in that this is my exact setup (two deep cell batteries and a 1000w inverter for the fridge). The fridge stays on perfectly while the car is running (gets around 13 volts from the truck) and stays on for roughly 24 hours just off the battery/inverter. I have a regular mini fridge with no propane option because I insisted on a cool, vintage look instead of an ugly RV fridge. I have a generator but when you're in a place with quiet hours or run out of gas or anything, just know that this option works perfectly fine! The trick is just using larger cables and keeping the inverter right next to the bateries. You can run an extension cord to the fridge itself. DON'T put the inverter far from the batteries and you'll be fine!