I think the chirp is likely feedback. RF from your computer shouldn’t be a problem. The case should be properly grounded. Early computers could generate RF but the FCC cracked down. Make sure all the screws are in the chassis.
If you read Evil Scientist’s remarks, he is in a room with a lot of electronics. The room is probably built as a Faraday Cage which makes for stronger signals in the room and his problem isn’t a chirp. Typically, the random RF can degrade the signal and introduce noise in the form of audio distortion or retraining between the aids or a phone.