Dave ,
glad you're ok and damage is little, could be worse.
As suggested the stuff to use on SS is HSS-G Co drill bits. Or simply cobalt, titanium coated bits will only add longevity for the bit and some lubrication.

Use HSS-G Co or HSS-G Co Ti, or HSS-G Co TiN or HSS -G Co Tian

Bear in mind drill bits with high Cobalt content are prone to chipping, so try to keep it steady.

regards


Florin