Loz - Taking an educated guess, it sounds to me like the switch is switching on the positive side (i.e live) hence the interference. Effects / Foggers which switch on the negative or neutral side of the mains often suffer from very little interference (on lighting controllers this is often called Zero Voltage switching

).
You are not going to do any damage soldering a cap across the contacts regardless of whether it is switching pos or nagatively

, so you haven't really anything to lose by trying.
If you want to give it a try, I have these capacitors in stock and if you P.M or email me your address and i'll happily post you one free of charge.
I can't tell you whether it'll work 100% but you have nothing to lose by trying