My "bad weather" rifles generally have a synthetic stock and a stainless barrel (I still own several rifles with chrome-moly barrels and wood stocks, but I tend to save them for fair weather). Nylon strap.
I put tape on the barrel's muzzle. I keep lens caps on my scope (may take them off the ocular lens and let them dangle, if sitting in the rain/snow, muzzle up, so the objective lens is still protected).
A quick wipe down of the exposed metal with a Rusteprufe Applicator Wiper at the end of the day, or whatever else I have on hand for that task. Some lens cleaner for the scope lenses if necessary.
