@ holli: tape would go around the pin, in essence, sleeving the 1/16th brass pin with electric tape.

I actually already bought brass tubes with an ID of 1/16th and an OD of approximately 3/32ths, these are still leaving quite a gap. I guess I'll epoxy and drill a hole and just keep redoing it until I get the new hole nearly perfect. I would hate to widen the hole on the razor with a diamond bit, especially without the proper equipment to ensure it's true the first time.