It seems to me that the criteria used to award the "tumbleweed" badge should be usable as a search filter. It would serve as a second chance mechanism for questions that fell through the cracks.
What is meta?
- Any Stack Exchange user can ask a question
- The community provides support, votes on ideas, and reports bugs
- Your voice helps shape the way Stack Exchange operates
Er.. you can already do this. Are you not familiar with advanced search? There has been a ton of Q&A on meta about it.
(the only part you can't do is select age of question, but given that you can already query for a minimum vote and view threshold, and specify zero answers, that seems irrelevant)
This could be generalized to search for questions or answers which have earned the user a particular badge, e.g.