If general anesthesia isn't possible for toenail removal, what about an epidural?

Not really. There are much simpler options such as using injections of 'numbing' medication around the nerve, sedation, or even a spinal. For this minor procedure, an epidural can be used however it may be riskier than other options.
Questionable. An epidural may provide some pain relief from the procedure but it would not be a first choice. In this case the risks of an epidural would likely outweigh the benefits. A digital block, ankle block, or more proximal nerve block would work better and be more appropriate.

Related Questions

Help, I can't stand the pain of shots in my toes. If general anesthesia isn't possible for toenail removal, what about an epidural?

Yes. An epidural or spinal can be used but both are overkill for a toe nail removal. The procedure takes only minutes and either the epidural or spinal will last a min of 1 hour. If this is being done in a hospital the anesthesiologist can give a small dose of propafol let you dose off for a minute as the doctor injects the toes. That's how I used to do it. Read more...
If your aversion. Is hat bad you can have IV sedation. Once sedated, the foot doctor could give local anesthesia as you would be out if it and the procedure could be done. Read more...