Here on the EAST side of the USA we always run into the generator run time restrictions just about everywhere for public camp grounds and Natl Forest areas. If you are at a private camp ground then you can do it if the owners don't mind. The EAST side does not have many DISPERSED areas for us to use. Out WEST they have alot of DISPERSED wide open ranges to camp in and they can run their generators just about anytime they want too...
We mainly just use our 2KW generator which lives secured in the back of our truck bed to get our larger battery bank recharged back up from the 50% -90% charge state each morning in the quickest time possible which is around three hours of generator run time. Then we are good to this all over again the next day/night run off our batteries.
Of course this does not include the use of air conditioners which doesnt bother us all that much...
Roy Ken