I discovered a very similar problem recently on my previously neglected airhead. The tip of the mixture screws were corroded, an part of one stayed in the orifice when I removed the screw, along with the crud from old fuel.
I have a set of "jet drills", which are exactly that, a collection of tiny drills that come packed in the screw top handle of the hand drill which looks like a oversized pencil. I have never used them to drill metal, but when a jet or orifice is plugged, I select a drill that is smaller and use it to push through so the carb cleaner can get in and start doing its job.
I also have what I believe is a welding tip cleaning kit, which has very small rods that fit a lot of small passages and can be used in the same fashion. Here's a link that shows a photo of what the author calls a Honda jet cleaning tool that looks just like my welding tip cleaner.
http://home.earthlink.net/~motorstuff/tools02.htmland here's a link to an ebay picture of the pencil type I use mostly.
http://cgi.ebay.ph/ws/eBayISAPI.dll?ViewItem&item=270429954365Keep soaking the orifice with carb cleaner, and do not enlarge the hole at all. Once you get an opening in the blockage, carb cleaner will do the rest.
Good luck.