How is this for a power system? Solar vs battery balance?

"Solar System: 2 X 100 Watt Soft Panels on roof."

If by 'Soft Panels' you mean the flexible type, I would not recommend these for a permanent install. I have one 180 watt flexible panel that I use as a portable. The plastic has fogged and it is cupped in several spots. As others have mentioned, you need more solar. The compressor fridge is quite economical but will draw a lot more power than a propane one.