Hi,
The air conditioner compressors do not use nearly as much power at 80F outside air temp as when it is 95F or 100F outside. So the compressors are only going to draw say 70% of their full load current under such conditions.
The 300 watt load of a ice maker inside a residential refrigerator probably would push the limits on the 30 amp receptacle, and it's circuit breaker. Good thing that the camp receptacle is in good condition, some are not and can have a 10 volt drop across them. This is indicated by the dogbone adapter getting really warm, and that was not happening.
You can further shed loads by turning off your battery charger for the day, and let it recharge at night. It is only a 1-2 amp load during the day, but it might help out. In my RV, I never have my charger on (it is part of my inverter system) yet charge via the solar system.
Glad that you had fun camping!
Fred.