For the rust to appear it must have been subjected to some sort of humidity, condensation is a common culprit. Yes it is more prevelant with blued finish be that matte or gloss. Wipe down your rifle with a rag using light gun oil. If possible don't store rifle in a case, a gun cabinet, locked closet, etc. If you must store in a case get a case with the foam egg crate insides, be it hard plastic or alum.
I hunt in wet conditions, all I do is wipe down the rifle with a rag and light gun oil. I then pass a couple moist gun oil patches through the bore at the end of my hunting day. Prior to the next hunt I pass thru dry patches to remove any excess oil in the the bore. I do this with blue and ss finished rifles.