I am very curious to the array you chose - load, resistor values and configuration?
The edge wound windings fitting loosely on the ceramic core are made to heave and shift with temperature changes so they chime nicely with vibrations. I think the C-60 operates around 200Hz so it must get some real rattle going.
You don't mention the operating temperature... but resonance set up by the C-60's frequency and duty-cycle width can be snubbed by inserting a damper at various places - a wood stove door gasket rope razor bladed into short chunks and inserted between coil windings, high-temperature mica sheet trimmed into a shim and made to act as hold off between a particularly noisy resistor turn and its ceramic, automotive exhaust or wood stove cement or HT auto exhaust silicone between choice windings and ceramic... the new kitchen flexible silicone cookie sheet material (500f) as core liner if you can get the center core out... the possibilities and combinations are endless..
Once the mechanical side is addressed - to get it more silent add a capacitor(s) across the C-60 output to reduce the square wave output waveform into less percussive event...