Red Lion is on the right track! I lived and hunted in Alaska for three years with blued guns that had walnut stocks. Never had a problem!

First, I used alcohol to clean off all oil/grease from the mainsprings, strikers, bolt interiors, bolt lugs/locking recesses, and all moving trigger parts. Then I relubed everything with Dri-slide, a molyebdenum disulfide powder contained in a carrier agent that evaporates. This prepared the guns to operate at temperatures below -50F, and they did. I took all the barreled actions out of the stocks, and coated the steel parts with R.I.G. everywhere that they were covered by the stock wood, then reassembled them. Then, Iused Birchwood Casey SHEATH on all exposed metalparts and in the bore. Stocks were waxed with five separate coats of Johnson's paste wax.

At the end of each day hunting, I wiped any water off the guns, swabbed the metal with a SHEATH-coated rag,swabbed the bore & chamber with a SHEATH-soaked patch, then put them in a gunny-sock if they were to be stored. NONE of my guns suffered any rust or corrosion and none had any wood damage either, in three whole years up there.

I would still do it the same. Of course, I am prejudiced against plastic stocks and baked/painted on metal finishes. None of this fancy stuff is necessary, anyway. The degreasing and relubing with a dry lubricant is only necessary if you intend to hunt in months of extreme cold - anything below -20 F.