Thanks so much for all your information! I guess I'll just keep on researching what our best option is and check out those two a.c. units. And leaving the dog at home is not an option because we've jumped all in and will be traveling/living in the rig. I misunderstood the specs on the Honda,(never owned a generator, or done any of this before so I'm a bit daft to the whole thing) I was thinking it was 2000 running not the 1600, so it certainly would not be an upgrade! Thank you for pointing that out, we would have felt even more idiotic if we would have bought it.
And yes, the unit runs great on shore power, haven't had a problem with it yet, fingers crossed.
And that's a sweet little set up you got there! Looks great, and like a lot of hard work!