We have an older 880, which has a similar layout (only with a wet bath).
A small Honda 2000eu might run your A/C... might not. Ours will kick out 50% of the time. We have also found our on-board propane Onan to be remarkably unreliable. It's stupid expensive for our local dealer to work on them- to the point that it made more sense to buy the Honda and carry gas along. Silly to have to carry a back-up generator, but it's quieter, simpler to run, and works for everything we do, with the exception of reliable A/C. The propane gensets are much louder than the Hondas.
Other than that, we still really like ours. I plan on digging in to the Onan next month to try and get it finally sorted out. I hate having something that doesn't work right, even if I rarely use it.