without knowing what size a/c you have, it's not easy to say.
i have a Dometic 13.5 a/c and a Honda 2000.
i tried running it at YNP when we were there. no it woudn't run it. it will run it near sea level but no way at elevation.
if it's a Coleman, it definitely will not run it.
to be sure, you have to have at least a Yamaha 2400. the Boliy should run it but be aware, there's not a lot of warranty support for it.
there are a number of Chinese-made inverter gennies, like the Boliy, such as Kipor, Magna, the new Dometic.
the problem is warranty service if you have issues.
the new Dometics should have a better support system than the other brands. it's made in China and you can find that it and the Magna, are the same exact generator, but the Dometic repair services are much more available.
here's one on Ebay:
Dometic LW3000 Portable RV Generator | eBay
you can find more info on Dometic's website.
and Zoe the Wonder Dog(R.I.P.)
'07 Roo 23SS pushing an '07 Chevy Avalanche
Equalizer WDH and Prodigy BC