When air conditioning is important, you better go big with your battery capacity. This customer got an 800Ah Victron Signature lithium system will full cold weather charging disconnects. The Victron 3000VA inverter/charger can draw from shore power or a generator at the same time as it draws from the battery bank to power large loads like air conditioners.
5x SP100 100W Solar Panels
1x Roof C-Box
1x Sun Runner Victron MPPT 50A sub 100/50
1x Victron 800Ah Signature Lithium Battery Bank
1x Victron MultiPlus 12/3000/120/50 120 VE. Bus Inverter
1x Victron Digital M. Contr.200/200A GX
1x Victron Color Control GX Monitor