Why would we award a badge for this? Badges exist to encourage positive and desirable behavior. As the tag wiki for the badge tag says:
Badges are awarded to encourage and incentivize positive community actions within the site.
If you ask a question that has received 0 upvotes, that's not exactly positive behavior: clearly, no one found your question useful or interesting. The situation you describe may indeed be rare, but it's not noteworthy, at least not in a good way or one that we want to regularly encourage. Remember that good questions are not intended to attract "discussion".
The fact that your question still attracted helpful answers (as indicated by the upvotes that those answers have received) is a testament to those individual answerers—not your question. We already reward them with reputation and badges for their answers.
If you've asked this many questions with 0 upvotes, you should be thanking your lucky stars that you haven't received any downvotes, which do cost you reputation.