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I'll be starting at a V10 firm in a major market in the fall, and I'm considering applying for a flyover clerkship the following year (due to some personal ties to the region), with the intention of moving back into a major or secondary market following the clerkship. Is that feasible? Or will the clerkship in a flyover district kill chances of moving back into big law in a major market/secondary market (at the firm I'm leaving as well as new firms)?

From TLSers, it seems that the post-clerkship employment world is bleak, so I'm trying to figure out if it's a "clerkships in major markets/market where you want to work or stay put" type of a situation.

Your firm will let you come back. They'll probably be happy to see you go clerk for a year. If it's two years, or if you are in a non-lit group, then some partners might have hard feelings (but some won't).