I ran the numbers for a battery bank and solar panel system to try to run even a 1500 watt A/C just from it. The result would have required a trailer carrying a solar panel array frame and mounting that would take 4-6 hours to set up, heavy duty charge controllers, 48 volt batteries, and a beefy inverter.
Just the fact that you need enough panels, batteries, and charging capacity for six times the capacity of the A/C due to usable sunlight only hitting only a part of the time.
As for the Honda 2000 watt generators, one can get extended run tanks for them so the 0.9 gallon tank can end up a 6-15 gallon one.
Solar has its place (a means to keep the house batteries at 100% SoC, or close to it) However, I'd definitely be bringing along a generator, and there are many choices. Another possible option which I've seen people use is a Yamaha 4500 watt inverter model. It is big enough to easily absorb the locked rotor amps from an A/C unit, as well as completely saturate a 30 amp connection. Plus, you can get remote start for it. There are a lot of generator choices, and everyone has their own opinion and a way that works for them.