Battery maintenance

Isn't the 6300 an older converter ?

If so, even though it works it might not be as efficient as a more up to date model.
Would it be beneficial to upgrade to something like , just as an example, a PD 9000 series with a charge wizard built in to it .
That combined with an AGM battery bank in 6 or 12v, whatever you chose, might be a better option, a more efficient system. Doesn't the AGM system charge a little faster and allow a lower depletion level than the standard less expensive wet cell battery ?

It really depends on your camping style and energy requirements. With minimal electric use refer, water pump, a few lights and 2 6 volt GC batteries you should last a week before your batteries are at 50% SOC I doubt your water will last that long. You can then charge them fully when you get home. A cheaper solution is to get a 40 amp portable charger to charge your batteries if you watch TV, use the internet etc.(have higher electrical requirements) and use your 6300 to top charge your batteries after the portable says full and use as a converter when plugged in. Your 6300 will only charge at about 5 amps and is more of a maintainer than a charger. Your genset is more than adequate. Check the output of your 6300, what is the voltage output reading when plugged in?

The 6300 is a disaster for off-grid camping and needs to be replaced.

http://www.bestconverter.com/PD4645V-45-Amp-Converter-Upgrade

Your generator is adequate but it takes a long time to fully charge RV batteries...bulk is fast but absorption phase to float....2 to 3 hours. The “power” of your recharging system isn’t usually the limiting factor. Batteries accept less and less as they fill. Solar would be far easier.