Ahhh, the old "good news, bad news" scenario. The good news is, everything works perfectly when the engine is running, the bad news is that the battery is discharging through the system when the key is off.
Let's try something really, really simple. With the key off, can you disconnect the lead to the "A" terminal of the VR (thus replicating "switched" power to that terminal, as opposed to "always hot" power)? If that fixes the discharge "VR is Hot" problem, then you can just change the source to "A" to power that is switched on and off via the ignition switch. My system, for instance, feeds the "A" terminal of the VR with switched power, not "always on" power. But if the VR stays hot, even after pulling that lead, then it's something else. You gotta love a schematic that says "All our Cars vary from this Diagram."
