do you know of any rooftop a/c's that are small enough for a EU2000 to run?
As I said, the Coleman Polar Cub is close, and the only option I know. It did the trick for me most times, but whether 8300 BTUs will cool your cabin will depend on size, color, insulation, etc.
Note that the current draw running is 8 amps, so that theoretically should be no problem for a 2KW generator. My experience, though, is that the Polar Cub's current draw will increase as it gets "overmatched" by high temperatures and you will eventually get enough voltage drop to trip off the genset. In my case, the system work until some 104+ temperatures in Central Oregon.
Here are the Polar Cub specs from the Camping World website:
Dimensions:
•Exterior shroud: 45"L x 29"W x 11"H
•Ceiling Assembly: 20"L x 20"W x 2"D
Warranty: Mfr. 2 year limited warranty.
Mfg Part #: 22222COMBO
Tech Notes:
•Full load amps: 8.0 cooling, 14.2 heating (with optional heat strip, sold separately)
•Running watts: 900 cooling, 1800 heating
•Installed weight: 101 lbs.
•Volts AC: 115
•BTUs: 8300