Powering AC unit built into travel trailer with solar?

All the calculations seem to be expecting to cool the whole RV, my plan is to use an inverter based 48V unit just for the bedroom, if it's above 80 when I'm going to go to bed start the AC 2 hours before and cool down the bedroom. With 2-3kW of solar panels and 10-15kWh of batteries this should be easy. It'll be about $12-15k with solar charge controller, Victron inverter, smart shunt, and misc parts.