89 Buick park ave Noise issue (brakes?)

Weird problem I have right now. I just replaced the front brake pads on my 89 park ave (170,000 miles on the car). The rotors were still really good, so I had them machined. Pads are decent quality.... here's the problem.
While driving, SOMETIMES i get a medium-pitched whine coming from the front right. The pitch DOES NOT CHANGE with vehicle or engine speed, and if I touch the brake pedal (not even hard enough to turn on the brake lights) the noise stops, until I let off the pedal. It also seems to go away faster then 55-60 mph, and doesn't appear until I'm going 10-15 mph. I can also feel a light "hum" in the steering wheel and floor when the noise appears.
Any help would be appreciated.
Cheers Tony
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How where the caliper pins? Free? Did you grease them? Are all the bolts tight? Anti rattle clips in place?

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