Converter and water heater are the primary suspects for the overload.
Put the water on propane only (along with the fridge) and turn the converter off at the breaker.
Once the air starts for a few minutes go ahead and turn on the converter. By the time the air cycles the battery should have plenty of charge allowing the converter to operate at low power.
No. I do not think you need a newer bigger generator.
BTW no hair dryer, microwave, toaster, keurig, electric skillet, waffle iron, air compressor etc when the air is running.
