1. Is there any way I can draw attention to the question to maybe get someone to move it?
Flag for moderator attention, saying "please migrate my question to XXX", if you're sure that's a migration path. (If it is, it's listed as an option under the "off-topic" close reason.) Also, you should vote to close (if you can) as off-topic, selecting the appropriate site.
2. Would re-posting it on one of the other sites be an incredible no-no?
Not necessarily. If you're unsure if there's a direct migration path or if there just isn't, then repost it, vote to close as off-topic (if you can), update the top of the question with a link ("Moved to XXX"), and flag for moderator attention saying "please close my question, which I have reposted".
If someone has posted a particularly good answer you want to make sure gets moved, you can include a link back from the reposted question and should leave a comment on that answer asking them to manually move it.
You could simply delete the question (if it meets the criteria) from the original site, but then you'd lose anyone who might be watching for updates and new answers. Unless you had posted the answer very recently, I'd prefer manual or automatic migration.