One thing I thought of doing was asking the question again containing the content I was searching for, then promptly close it as a duplicate as the original. Is this an acceptable thing to do?
I disagree with this approach. Closed questions count against a user and can lead to a question ban. So encouraging people to purposely create duplicate questions may not work in their best interests.
Instead, editing is the way to go. Editing a question to make it more inclusive of a similar problem is okay as long as it's not changing the core of the question.
With that said, if your question would change the core of the supposed duplicate, then it's not a duplicate. Instead, do what Jeff suggests, write and answer your own question, Q&A style, being very clear what the question is, and then answering it like you would a question asked by another user.
Just because two questions have the same answers doesn't make both questions a duplicate.
It's of course perfectly okay to cite the other question and answer in your post, so you can still accomplish the goal of linking them together without the post being closed.