While talking with a coworker I realized that very often I answer my question through the act of composing and email (but not sending) or writing a SO question (but not posting).
Working through the details and doing the additional research often reveals the answer, at which point I either abandon the post or post it anyway and immediately post the solution.
Since answering your own question is covered by the Self Learner badge, I think there should be a badge for abandoning questions before they are posted.
I realize it would be tricky (or impossible) to implement in a way that's not easily susceptible to abuse but nonetheless, I think it's a neat idea. And might spark some other good (possible) ideas.
If nothing else, it could spur other badge ideas (e.g., using the related questions list that shows up while asking a question to find your answer without asking a new question).