I don't see where you will have a problem. I don't have solar and have a group 27 battery. Now my fridge doesn't pull any power when on LP so that is a plus. Before I had a battery monitor, I was really concerned and tried to conserve as much as possible. Then I installed a Trimetric from Best Converter and no worries for two reasons. First is I know where the battery stands and second is I've discovered without being conservative, I still usually only use 15-20 A/hr each day. Most of this is furnace consumption when we camp in temps below freezing. When we don't use the furnace, we usually on pull about 5-8 A/hr each day.
Biggest power drain for you would be the frig, but without knowing the model can't determine how much it draws. But remember, the draw is only a concern after the sun quits charging the battery until you crank up in the morning.
