Hi Richard, good to hear that things are progressing somewhat.

Thinking out loud, as they say.....

The fact that the fans run is not indicative of a controls fault simply one of refrigerant flowing where you don't want it too.

Are you prepared to modify the system outside of the LG scope?

A. When a unit goes thermo-off can you interface with this control signal somehow? In other words, could you connect a relay which would switch over when the 'stat goes off.?

B. If yes, then see about fitting shut-off solenoid valves in the pipework so that the flow is stopped when at thermo-off.