Think about capacity. 200A-hr at 12V is 2400W-hr. That is what is available from one regular household outlet. Sum up what you're running 24/7 and consider that you only get to charge during daylight. I run the Engel around the clock when we lose power, which consumes around 50W-hr when set to freeze. It runs pretty continuously. That along with a radio on receive is about 65W-hr and I will draw down my 100A-hr battery in about 15 to 18 hours. I put 240W-hr back into the system with my solar panel and can run continuously unless we get more than one day of continuous overcast.
'91 Toyota Pickup
'09 Kawasaki KLR650
'12 Gunnar Rockhound 29
"To live is to suffer, to survive is to find some meaning in the suffering." -- Friedrich Nietzsche