I'm wondering if it wouldn't just be worth a bit of elbow grease to see if the exposed areas will clean up acceptably without a refinish.
Much of the worst areas will be covered when the rifle is reassembled. Often light rust can be made to blend in with some 0000 steel wool. (And a steam bath, at times.)
It depends on whether you mind a bit of an "experienced" air or if you want something more "factory fresh". Some of my favorite rifles LOOK rather tired, but they are really outstanding shooters.
Refinished weapons just don't seem to linger in my collection! Just never quite satisfactory, somehow.