I have 3 open frame Generac generators. They all will handle my rv with both airs easily and are just as quite as the Honda's at 150 yards away.
If you want a generator that handles all your needs then the minimum i would use is 5500 watts. I installed a rv plug on my 5500 and 7000 watt generac so that if i lose electricity at home i can use one or the other for the rv. These are way to heavy ,noisy and expensive to operate or to tote around. In my case they are for emergency's only. I've seen the u-tube on the micro-air soft start with 2000 watt Honda.Yes it might work but my ems remote shows 14 amps on my 13,500 air and 16 amps on my 15,000 air and the Honda's are rated for 13.3 amps on the 2000 and 15 amps on the 2200. To me you are living on the edge with one small generator with a/c. I would go with 2 small generators in tandem or about a 3,000 watt single. I would still install a soft start with 3,000 watts or less. Even with small generators you need to manage your electricity wisely.