This just happened to me and I resolved it easily by doing the following (see pics):
1. Cut 3 notches in the thick part of the race where I would fit the teeth of the puller.
2. Grind down the puller teeth a bit for an solid fit and deeper grip. (It's a HF puller)
3. Use a couple of washers for the top (used smaller washers once the race was close to the end so it could fit over the washers.
IMO this is way better than dremeling and hammering... took about 10 minutes each.
