I wanted to post a response to this question, but I don't want it to show up in my list of answers (not only because I don't want it associated with my careers account, but also I don't want it associated with me at all). It would be nice if I could check this while submitting my post:
[ x ] Post anonymously (no reputation will be earned; post will not appear in your list of questions/answers)
...which would make the post be owned by the Community user, so that it is truly anonymous. If this option were available when editing a post (like "make community wiki" is), it could be used to anonymize earlier posts as well, without needing to involve a moderator.