If anyone has an issue similar to this thread, I ended up buying a Honda EU 2200 (more expensive, but they are bullet-proof) gas generator. The recharge-able electrics (EGO) at Home Depot have come a long way but have a very long way to go yet.
I have a 30' Maxum 2900 SE with a 16,000 BTU A/C. Most threads on this and other sites will tell you a Honda 2200 could never power an A/C unit like that and that you will need to go bigger. They are all wrong. Easily powers it whilst at the same time running a fan, the battery charger and a small shop-VAC.
Don't necessarily listen to the self-appointed BS-experts. What I did was run my 30Amp pigtail adapter (which you will need anyway) to a 120V standard 3-prong, wall plug to my shore-power. Fired-up the A/C and a number of appliances. Worked fine. If the 120V output of the wall adapter will drive your unit, so will most stock 1800-2200W power-inverter/gens.
Again, ignore the self-appointed BS-experts and try it yourself, then buy the right-sized Gen for you. For me, it was the more expensive Honda but my second choice was a (more powerful) Generac 3000i with the added bonus of the 30Amp twist lock. To me the reliability of the Honda won out, despite the extra cost which I am not entirely convinced is worth it, but Honda has the rep.
Lastly, if you're really concerned about the load surge when you start you A/C, get a $30 (less in the US, we get hammered on everything in Canada) hard start Supco kit from Amazon to address the starting torque, and your problem will be solved. I may get one, though I am not experiencing any start issues now with the set-up I have now.https://www.amazon.ca/gp/product/B00...K6Y9EEQB&psc=1