It sounds to me like the tracked external linking methods only apply to questions or answers. So if you are sharing links to go toward getting the Announcer/Booster/Publicist badges, the only options apparently are sharing permalinks or using the facebook/twitter/other buttons on questions.
Why doesn't answers have the same linkability? Or even the homepage? Is this even available? If not, can it be made available?
I can't seem to find any links on the homepage or other links to do so and I don't think simply adding my userid the way it is now to it would even work.
I can see potential opportunities to share links to Stack Overflow (or any other Stack Exchange site) where I don't want to link to a specific question or answer. I want to be able to say to people I'm helping, "If you have any more programming questions, http://www.stackoverflow.com is a great resource." and have it tracked.
And why stop there? It would be very nice to have these links for the tag pages as well. So if I'm directing others in a particular discipline or programming language, I could direct them to these questions pre-filtered.