I had the same thought as Flux. You probably have some inductance in the line. You could use a parallel diode and a parallel RC to protect against inductance. If you already have the snubber in there then a small series inductor (with some known material inductance) would protect against capacitance.
But I don't think it is capacitance because there would always be some resistance in the line to keep the current from surging - think of it as a ladder of small resistors shorted to ground through small capacitors. The controller is rated to 300 amp surges, so any surge would have to be pretty big. Also your voltage is quite low, so .5xCxV^2, your energy of capacitance, will always be low. I don't understand the heating element you are using but many of them are tightly coiled internally to increase the effective length and therefore resistance of the cable. Depending on the packaging of the element, that may or may not be obvious. That coiling is going to lead to inductance. Everything I know about your situation sounds like an inductance problem, not a capacitance problem. Put a snubber on there.
The only reason not to use a snubber is that they waste energy but that's what you are trying to do anyhow... so slap one on there chief.