I can turn everything OFF in my setup and just run the 13,500 A/C directly plugged into my 2KW HOnda. Then if I start the fan only first using the thermostat it will start up. Things are great until it needs to recycle then it trips my breaker haha...
We camp OFF-ROAD way back off the trail all the time. Don't ever really need the Air Cond... Fans do the trick for us... I run all my wanted toys off the battery bank and have it planed out to reduce my battery bank down to its 50% charge state by 8AM the next morning. Then I can run my generator most of the time for three hours with the trailer shore power cable plugged into the generator and use the on-board PD9260C Converter/charger Smart Mode unit to recharge my battery bank back up to its 90% charge state.
Then I am good to go for the next day/night run off my batteries... I use a smaller 600WATT PSW Power Inverter during the 6PM to the 10PM time frame each day to run a few of my low wattage 120VAC items off the battery bank...
We do this routine alot over the years since 2008...
Works great for our OFF-ROAD camping in my POPUP...
Roy Ken