So the problem has been solved. I removed the lower dash (below the steering wheel) and was able to track down the evil "chime".
It’s a little speaker on a PC board, I didn't want to remove it for fear of damaging the PC board. So I took a small screw driver and ripped out the voice coil of the speaker.
Plugged everything back in, and started the car....pristine silence!
total time to complete the project was about 35 minutes. I could probably do it again in about 15 minutes (since I know what I am looking for).
I didn't have my camera with me to document the process.
If there is interest I am willing to take it apart again and take pictures and do a write up.
Let me know.