When I did travel with firearms I used a take down a lot, but different from what you are thinking, I believe.

I took the metal out of the stock. I had a small case made with foam cut outs in it to fit the 2 rifles I most traveled with. They where a .30-06 and a .375, both on Mark X and both with the safe 4x scopes in the same weaver mounts. The scope off of the rifle staying home went along as a spare.
Small cut out for a screw driver, little fold up wire target holder, folded up paper target, electrical tape, bore pull and a 4pc bore rod with a few cleaning goodies.

Not a great photo, only 1 I could find.