Hi Machman64. No, we never found a solution. We tried replacing the RF module with a new one and it didn't help.
I'm limited on the time I can work on it because my daughter normally has the vehicle at college.
I did end up finding that the RF module seems to be triggering the current draw, but it isn't the circuit actually drawing the current. In other words, it seems like when the RF module wakes up, it wakes up other systems in the car which cause the current draw.
I've done a bunch more research on it and the module seems to handle both the remote keyless entry as well as the tire pressure monitoring system. I'm wondering of something with that is causing the waking-up, but I still don't know how to actually fix the problem.
Lastly, I ended up getting Forscan with an OBD2 connected in hopes that I'd find something there, but no luck. When the vehicle goes to see the OBD interface also goes dead, so I can't see what is happening when the vehicle is supposed to be sleeping.
My current plan for a workaround hack is to put a physical switch in-line with the circuits that draw current and leave the RF module active. That should allow the remote entry to continue to work and once in the car she can flip the switch before starting the car.
Hopefully someone will post a solution eventually.