So that this question ends up with an answer:
Am I correct that my question falls into the category of "OR it focuses on programming, debugging, or performing routine operations within a statistical computing platform"?
If so, would it be appropriate to migrate this question to stackoverflow?
Only if it meets the conditions to be on topic there*. Many programming questions do not (a lot fail by asking about problems but not providing a small reproducible example)
* we're not supposed to migrate questions which will simply close at the destination; indeed if it is closed there it will usually just bounce straight back. [In typically terse and colourful language often associated with programmer forums, this is usually expressed as "don't migrate crap"; the term tends to be used even with otherwise good questions that don't meet the site's standards.]
Would it perhaps be a good idea to automatically allow such migrations?
You can flag for migration to any other site; if it seems to meet the topic and standards of the target site, we'll migrate for you. This is the preferred method (over deletion and reposting).
I know some other stackexchange sites allow users to vote by saying "this is off topic and it belongs to this other stackexchange site".
So does ours.
Sometimes our users with sufficient reputation will vote to close with a "off-topic/migrate" reason rather than the option under which yours closed -- but if it's going to close there anyway, the people on the receiving end (rightly) see it as us simply wasting their time.
I don't know that there's a need for any other migration pathway than the usual methods. Flagging is usually fast.
If you do ask a software related question here and it closes, here's what you do:
consider whether it can be made clearly on-topic here; if so edit accordingly
if there's a stats/ML part and a programming (say) part; if so, split it into two questions, keeping the stats one here and posting the other in a suitable forum. You can always link the two if need be.
if it's already clearly on-topic elsewhere on SE, flag to migrate
if it could be made on topic elsewhere, edit then flag
finally, if it's not on topic on SE, consider the support forums (and other resources) that are mentioned in our close-reason text.