I'm surprised no one's marketed a combination "hybrid energy aircon APU" unit, that drives a high-capacity aircon compressor directly off a little gas engine, and also concurrently charges your battery bank.
The latter's amps output could be varied as the compressor's load changes, a tiny efficient inverter could handle the aircon's electronics if they require mains power, and combined with a LFP bank, overall loads could be kept within a pretty narrow range optimizing the engine efficiency.
With a second DC motor, the gas engine can be automatically shut down once the bank is full, and aircon runs off the bank.
Solar inputs could be integrated too.
And now I've answered my own question, man would that setup be pricey, and even with marine/RV/off-grid homes combined, very limited worldwide markets.
Shouldn't be *that* difficult to cobble it together DIY though.
Personally I've never valued aircon that much, but refrigeration and watermaking would substitute.