My rifle just lives wet and dirty. If the guns worth a darn as a sheep rifle, you won't have problems.
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I do pay attention to keeping the scope clean and covered and the muzzle stays taped. If a stainless gun needs more than that, I'd be shopping for a new one.
Blued can be a different story. My dads blued 700 had the bolt stop rust up solid on a particularly wet sheep trip a few years ago.