Sweet Build.
I installed the air conditioner and haven't figured out how to bypass the AC digital thermostat to just have it controlled by the STC-1000. So I it is sitting idle (not like I need it right now).in.
This doesn't really solve your problem because you already have one. But for readers, you can get old a/c units that don't have a digital display, just knobs. So you can just leave the knobs turned on and control threw the main power.
I have a newer a/c that is also a heat pump (runs refrigerant backwards so it heats instead of cools) that has a digital display. Since it is a newer one, I will run some tests just letting it control it own temp with its own stat. If it doesn't I will try and re locate the stat that is built in. I believe is should work fine, they are pretty accurate now a days, but we will see.
There is a mod out there where you actually heat the temperature probe to keep the A/C running. I cannot find it right now, but maybe someone will know where to google it? This way the probe never reads below 'whatever', so the A/C stays running.