Yes, you can run the house ACs with your generator but there is another option you might consider. I installed a set of thermal curtains, right behind the driver’s and passenger’s seats. They are mounted on overhead tracks so they can be pulled back easily out of the way. With these curtains closed, the dash ac has been able to keep the cockpit cool. I do run the house ACs prior to arriving at our destination to cool the rest of the motorhome, especially on those hot days on the road.
Safe and cool travels!!