Hi JIM, Noise in car audio is fairly common, but to have noise in speakers with the radio powered OFF is unusual. It is helpful to first identify the cause of the noise before changing wiring or adding filters. You can use a portable radio to sniff out the source of the noise by tuning it off-station, and moving the radio around under the dash and under the hood. If you hear a similar buzzing in the radio, then you need to check out that nearby component.
The old GM service manuals classify the 3 causes of audio noise as:
1. FRONTWAY: Coming in thru the source being played, such as being picked up by the antenna when playing the AM/FM.
2. SIDEWAY: Being picked up by the circuit in the receiver thru the air, generated by a nearby component such as the distributor.
3. BACKWAY: Coming in directly thru the wiring of the receiver.
The cure for #1 is to reground the radio and/or add a filter on the antenna cable. The cure for #2 is to shield the component and/or the radio chassis. The cure for #3 is to add a filter on the power wires to the radio and/or install a filter on the component generating the noise.