Power is Power - I would really look at the INVERTER type generators as they seem to produce the best 120VAC envelope for 60HZ operations. Some of the cheaper generators really produce some trashy looking 60Hz wave forms that might do damage to some of your appliances.
Also as you are probably already aware that alot of PUBLIC CAMP GROUNDs on the East side of the US have all kinds of Generator Use restriction in place making it hard to justify a large generator install. When you want to use it the public campground you are at probably won't allow it.
That is what we have run into at the places we like to go to at any rate...
Generators are boss out West where alot of OFF ROAD DISPERSED camping is allowed...
With all of this in mind I just went for a small portable Honda 2KW Inverter type generator to use just to plug my OFF-ROAD POPUP trailer shore power cable into it and re-charge my beefed up battery bank in a quick three hour generator run time using smart mode charging modes.
Running off of the Solar panels and Batteries doesn't fall under the Generator run time rules around here... I have my camping spot all lit up just like we have at regular camp sites with electric and use all the 120VAC items we want to have ON running from an INVERTER. Nothing making any noise at all to get complaints from the neighbor campers...
I have had my 2KW Honda now since 2008 and it still start on the first or second pull on the cord...
Just saying...
Roy Ken