Oh, and the resin/harderner type epoxy thing would work and of course I use this repair on boats (two weeks ago, in fact) , but a: you better have a hell of a fast drill because that stuff is very difficult to drill into, and b: I find that it doesn't bind as well to wood as it does to fiberglass or plastic, so you may find your "plug" spinning out.

If you go gorilla, use an awl or punch to make an indentation before you drill.