From my experience, the 3000 models is far superior to 2000 model.
Fuel tank that last whole day, quieter, easier to start and powers everything in smaller RV with no hesitation.
The only issue is the size and weight, but putting it on front hitch solves it very nicely, while helping to keep COG in right spot.
Other method to deal with undersized generator for AC is to get big inverter/charger and start AC on inverter, who automatically will switch to generator power.
I had similar setup in my motorhome and it help in those moments when campground voltage dropped below safe for AC.