I've read that even non-inductive wirewound resistors are too inductive for snubber applications. There are even recommendations against using metal-oxide and carbon compositions trimmed with spiral cuts). It's even gone so far as you might need an active probe to accurately measure the snubbing waveform since the probe capacitance can load the circuit too much. THere was one article that just plain said often the inductance of the resistor is too high, period.
I also read the only time wirewounds are used for snubbing is when the power levels are too high, and when they are they should be damped against with a mini-snubber just for the resistor to keep the inductance from ringing. I think bulk ceramic resistors are replacing that though since they have less inductance and also don't have catastrophic failure.
The rise times in my circuit are 50ns (calculated), so I assume the snubbing waveforms will be in excess (maybe far in excess) of 20Mhz. I'm pretty sure any wirewound resistor fails at that frequency. It seems that a lot of non-inductive wirewound resistors are meant for audio applications since they have low noise, but those are only in the low kHz range.