I'm no authority, but I inspire easily. In the little pamphlet on hawk building I got from TOW along with my handle, there are a couple of procedures for making brass or pewter caps for the end of the handle. If that's within the style you're looking at, it would be pretty straight forward to pour a pewter cap that also served as a head-stop.
Depending on how far down the "reverse" inlet extends, you could also clip off the offending wood and refit the head from the bottom as it should be.