OK, just to be clear - A/C = Air conditioner ? Right?
The A/C operation has nothing to do with the converter or its output wiring which is the 12VDC side of things.
First thing is to check that the A/C unit is getting 110VAC power. And you can't just visually inspect the wiring, you have to get a meter and verify the voltage is there.
The A/C is powered from the 110VAC shore power. I don't know about your trailer or how it is wired or what kind of A/C unit you have. Most modern popups have a 30A service, which is split into two circuits, a 15A circuit that runs the converter and the inside power outlets, and a 20A circuit dedicated to the Air Conditioner. There would be two breakers on the front of the converter for these circuits. Also look for GFCI outlets that might be tripped.
In any case, you have to verify that you are getting 110V power to the plug that powers the A/C. If the A/C is getting power OK, it is probably fried. I can't offer any advice on fixing it.
If it's not getting power, then you need to work your way back to find out where it stops.
You said the trailer is at your hunting camp. How is the trailer being powered? Generator?
I think the event that took out the converter (power surge? brownout?) might have also damaged the A/C unit.