The "no hookups" situation is what I deal with all the time.
This is what I have learned: (I am sure others will have different opinions - this IS an open forum
1) If you plan on air conditioning you need a minimum of 3000 watts and the generator not running in economy. You will never be able to air condition on battery. (A Yamaha EF3000 or two Honda Ei2000 in parallel)
2) You need a 1500 or more watt inverter (remote control is a bonus) to watch TV on battery power.
3) No matter how big your generator is, you are limited to the Power Converter's ability to put amps back into the battery. That mount is determined by the battery voltage at the time. If it is very low the "fast charge" stage of the 3 stage center will squirt in about 15-20 amps but as the voltage recovers, the next stage will kick in to keep you from boiling your battery. The amps drop to about 9 amps. Then the final stage kicks in when there is about 10% to go, and it drops to 2 amps. It can take running the generator at idle ALL DAY to charge a very low battery. This is a power converter limit; not the generator.
4) If the battery is very low it is faster to remove it from the camper and use the DC charging port on the side of the generator. It will fast charge the batteries without the limits of the power center. You MUST watch them like a hawk to avoid boiling them dry or exploding them from too much hydrogen being trapped under the vent caps.
Lou and Laura with Bella - German Short Hair Pointer
2008 GMC Sierra 2500HD Crewcab SB Allison Duramax
2010 Flagstaff 8526RLWS - Superglide 3300
HAM CALLSIGN - KC3FFW