First- did you ever try shorting the inputs to the amps to see if this made any difference?I might have missed this?
Second - a trick that I picked up from a broadcast engineer friend of mine is occasionally helpful in tracing down this kind of problem - simply plug in a long heavy duty extension cord still rolled up or "hanked" as it came in the package.This basically is a inductor - if the problem goes away - you know the power line is the source - this can also be used to isolate the source of the problem -you keep plugging it in between the wall and different appliances until the noise attenuates - bingo - that's the problem unit. In your case this isn't necessary since you've identified the noise source as the furnace - but if you try this on the amps - that may tell you that the noise is riding in on the power line (probable).
Second - a trick that I picked up from a broadcast engineer friend of mine is occasionally helpful in tracing down this kind of problem - simply plug in a long heavy duty extension cord still rolled up or "hanked" as it came in the package.This basically is a inductor - if the problem goes away - you know the power line is the source - this can also be used to isolate the source of the problem -you keep plugging it in between the wall and different appliances until the noise attenuates - bingo - that's the problem unit. In your case this isn't necessary since you've identified the noise source as the furnace - but if you try this on the amps - that may tell you that the noise is riding in on the power line (probable).