Even with a small generator it is best advised to get additional batteries in your battery bank...
What we like to do in OFF-GRID camping is have enough battery power to run all the things we want to have running from 6PM to 11PM and of course all of the small drain that are always on 24/7.... We have a couple of Power Inverters 600W and 1500Watt Pure Sine Wave for the 120VAC items) to run from the batteries... This does not support the Air Conditioner or high wattage Microwave but will run everything else... We carry a small 600WATT Manual microwave to do small microwave heating for us... Usually to warm up the coffee hehe...
The game plan is not ever run below the 50% charge point for the battery bank as this will start doing damage to your batteries...
Then during Breakfast each morning we will run our generator when allowed to charge our 50% battery charge state up to the 90% charge state which will usually take around three hours of generator run time... With the 90% charge state we can do all of this all over again for the next day/night run off the batteries and not harm the batteries... We usually can do this routine for 10-12 days before we have to do a full 100% charge state on the batteries... Most of the time this fits in with our camping routine and we can do the 100% charge state at home. This usually take us 12-14 hours to complete. That would be a long run for our 2KW Honda doing it at the camp site haha...
The generator can be used anytime when allowed for small things you might need to do...
Of course others have their own way of camping off-grid but this has worked good for us over the years... We light up our camping spot and watch TV at night to keep caught up on the news and check in with the kids on social media when we have internet/Cell Phone connections...
The golden rule is to NEVER EVER mess with your Truck Start battery as this is you only way to get back home haha...
Being avid tent Campers we have been doing tis since the 60s...
Roy Ken