What brand and model of compressor fridge are you using?With solar becoming more popular and more panels on the roofs - i'm surprised the 12v compressor fridges are not becoming more of the standard? I haven't ran the solar numbers but I pull about 4.5amp running, and it runs approx 50% of the time. Thats 2.25ah constant or approx 48 hours on a 220ah battery setup from 100% to 50%.
I just dont know enough about solar yet (I will have it on our next rig) to know if it will easily handle this. But you cant beat the fridge simplicity and performance.
By the way, you are using 100% of your available battery power per day since a lead acid battery shouldn't be drained below about 50% for the best longevity. That is fine if you don't use the battery for much of anything else, although I think you would have a problem on a cloudy day.