If you hit each of your Batteries with 14.4VDC with a 17-20AMP DC Current capacity this will charge your batteries in a three hour generator run time. My SMART MODE PD9260C converter/charger unit has a 60AMP DC Current capability and only draws right at 1000WATS on the AC side of the generator. My 2KW generator will run this PD9260C great with a few watts left over to run a few other 120VAC appliances we might want to have running like the coffee grinder/maker.
Also let the camp ground know you are wanting to use the generator as they may have special camp ground spots for all of the generator users set aside... Keeps all the noise makers in the same side of the camp ground hehe...
We beefed up our converter/charger and changed all of the high DC current incandescent automotive lamps bulbs to LED boards... We run pretty much what we want to have ON from the 6PM to 10PM time frame and only drop our battery banks back to around 50% charge state by 8AM the next morning. This was all planned out...
Then at 8AM we start up the generator when allowed with the trailer shore power cable plugged into it and this will use the on-board converter/charger smart mode charging to bring my 50% depleted (appx 12.0VDC) batteries back up to the 90% charge state (12.6-7VDC). Doing this allows us to do all of this all over again fro the next day/night run off the batteries...
Been doing this since 2009 and it is all pretty much routine now camping off-grid with no electric hookups.
Roy Ken