Welcome aboard, Potato salad.

If Thenasty's idea doesnt work, an A-B parallel port switch and either 3 male DB-25 connectors or 3 old parallel printer cables should do the trick.

You would need to use 8 wires per port -- 7 switches and ground.
Scott
EDIT: On second thought, I'm not sure exactly what the relay in your setup is switching.

Is it switching power and video? Just video?
The answer could change which appoach will work for you.