Wayne.B wrote:

If at
all possible, get a bigger generator, or try before you buy.

Good thought. Hertz Equipment here rents the Honda EU1000i
generators,

So here's Plan A - install the inverter and air conditioning system.
That gives me something that can run off shorepower and, for short
periods, off the battery. Then rent the 1kW generator, try it, and if
it doesn't work, buy the 2 kW which should have plenty of capacity.

- Walt Bilofsky