A "Published" badge for being a "question/answer of the week" in the weekly newsletter.
It should be at least silver, and maybe gold since there are only 52 per year.
To be awarded retrospectively, of course.
Yet another badge? Maybe not - it would promote the newsletter, which many don't realise exists. I can recall congratulating a 150K+ user on being this week's best answer, and he replied "what newsletter?" - he had no idea.
At least if there's a badge for it, folks would be more likely to take an interest in it.