After carefully looking at the schematic, this looks like a flaw in the Fast Draw design that could have been avoided by isolating the chime the same way the knocker is isolated from the high score circuit. The Yellow&Green wire from the Player unit disk should have been connected to the Make-Break switch on the W relay, where I drew the 2 red arrows.

Thanks, MarkG for looking at this for me.

Pinball (resized).png