Update - Forceful Braking seems to have worked!!!
After thinking about the first cut at forceful braking, I realized that I probably used more front brake than rear, despite the intergral brakes. Sooooo, I tried the exercise again, only this time, I used the rear brake only. Obviously, the front brakes applied as well, but THIS time, the noise has gone away. For now, anyway. I'm not trying to start another "linked brakes" controversy, just reporting what I did and that now the sound is gone. Thanks for the advice!!!!