Cisc0, that indeed sucks a big hairy meatball!

I would have done things differently in your situation though.

First thing I check when AC cuts out is refrigerant and compressor clutch operation.

In your case, with refrigerant in the system and the compressor cutting out it would definitely be pointing towards an electrical problem first, either with the compressor clutch itself, the AC computer and its related sensors, or DME.

It would still be a nightmare narrowing it down to which electrical system is shutting off the compressor though, and why.

In our case though the compressor clutch is always engaged, but no cooling.

That particular variable helps narrow own the possible causes in this particular AC system type.