I am totally puzzled. What are you going to do with a large sign wave inverter powered by only a 200 AH battery bank?
I lived full time for a while and have spent at least 1000 nights in my RV. I have gotten by with a 175 watt, non-sign wave inverter that is only rarely used because I could not find a 12v alternative for charging my camera battery.
It would take a huge battery bank and solar system to try to use batteries for running an A/C unit. Even a microwave is more than I would want to power unless it is just for a short use in reheating coffee or the like.