Do you have a factory service manual ?
You really need one .
What compessor did you use?
It seems to me like I ought to be able to somehow tell the control unit all those things are okay and just send everything on through.
You are missing the point .
The AC control makes a simple 12 volt "on" "request" to the original LT1 PCM .
It was the now gone PCM that looked at , assessed perimeters.
If it decided it was time to turn on the clutch, it grounds a wire so the AC clutch relay comes on.
You don't have anything in the car anymore that watch system pressures.
From what I read on your Holley , it can only turn on or off the AC based on throttle position.
This is why you will have to add a Trinary switch
This video is not exactly how I would wire one but it gives you some basic info
You can likely find a switch that will replace the original pressure transducer near the rad support because you have nothing in the car anymore to use that info.
I personally welded a new boss so I could keep the transducer because I will in future have need for that data.
Hard to know someones knowledge and abilities over the internet.
Basically, you need to convert the 12v "on" coming through the firewall to a ground to the AC clutch relay.
In that circuit, you need to add the trinary switch to protect the system from high pressure.;
The other two wires on the trinary will be wired to ground the fan relay so the fans come on with pressure rise to 250 psi