Hi GLM:
Here is a little tech background that may help you understand how we are analyzing your situation.
Unwanted interference can enter your system from the outside in three ways:
1. Magnetically, like a vibrating electric guitar string near its pickup. Magnetic interference is sensitive to the orientation of the magnetic field, which is why checking the orientation of the device was suggested. Fixing it can be done by reorienting either the sender or the receiver, reducing the strength of the sender’s field, or reducing the sensitivity of the receiver to such fields.
2. Electrostatically, like when you pick up a static charge from petting a cat, then you get zapped when you touch a grounded metal object. Electrostatic coupling is not orientation sensitive, but is sensitive to distance. It is usually fixed by shielding, i.e. interposing a grounded metal surface between the sender and the receiver.
3. Conducted, from a current flowing through a wire that is unintentionally part of your signal path. These are difficult to find in a studio because everything is wired to everything else and current flows every which way. To find this, you need to break all of the wiring except the minimum needed to make the gear run. That is why folks wanted you to use headphones for testing, since they aren’t wired to any other gear. The shorting plug Ian suggested is similarly not connected to other gear.
Unwanted interference can also be generated spontaneously within a piece of gear. Interference can be a byproduct of a mains undervoltage condition, where the unit’s power supply is being starved of voltage. That is why we want you to see if you can measure your mains voltage. A fix might to use a mains transformer to slightly boost the voltage for this particular bit of kit. Or your power utility could choose a different transformer tap for your feed.
I hope this helps.