My first step was to remove the housing of the BCM with it still plugged in. This allowed me to test the voltage supplied to the buzzer. This variable needs to be known in order to choose a resistor, if needed. In our case, one is needed. The voltage powering the buzzer is between 9 and 12 volts. That is more than enough to ruin a LED.
This photo shows the BCM connected to the vehicle with the housing removed.
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These images show the speaker wire soldered to the PCB.
I don't have anymore pictures of the project so here are the basics:
a) Re-install the BCM.
b) Run the wire to the desired location of the LED. I put mine up by the sun visor.
c) Use http://led.linear1.org/1led.wiz to determine what resistor you will need.
d) Solder the resistor and LED to the end of the wire.
f) Finish up by hiding any showing wires.
Here is a video of my completed install:
The yellow LED located at the top driver's side of the windshield is my new buzzer/indicator.