So, this is really random, but if you can open up the case and figure out what is whining, folding up tinfoil neatly in half about a dozen times will make a really effective shield and cut like 95% of the whine. I found out about this trick from an open-source synth (PreenFM 2, incredible little frequency modulation synth) that had some whine due to the display. Sticking the thick piece of tinfoil between the display and the PCB boosted the SNR an almost unbelievable amount. Give it a shot, it only costs time and tinfoil! Be sure to stick some electrical tape around anything it might contact though, so you don't short anything out.