Spent the latter part of my working career in the field of EMC (Electro-Magnetic
Compatibility), which deals directly with both EMI and RFI. Not an engineer as
I could never do the math, but I do have a very solid working knowledge of
how to shield devices from EMI, RFI and EMP.
Your coil is a transmitting/receiving antenna, designed for maximum efficiency
for the operating frequencies of the detector. It is going to receive not only the
reflecting signals, but also anything else within the operating bandwidth.
Interference can come in the form of near field (magnetic) or far field (electric).
The only way I can think of to shield the receiver would be to install filters on
the cable between the coil and the receiver. The receiver housing would also need
to be shielded internally.
Both of these choices could be detrimental to the function of the detector.
I'd love the chance to get some REAL solutions by sending a few detectors
to a proper EMC Test facility. There, engineers (Physicists) way, way smarter
than us can test the detectors in an RF shielded room, and then suggest
alternatives that would/could solve the problem.