My 1960 336SC looks about like yours does in the initial pics, I've left it alone. A little character doesn't hurt a hunting rifle. They were made to be used in any weather, after all.
I bought it used a couple years ago, and that's the way it came to me. I keep an eye on it, to make sure it doesn't get any worse, but it's apparent that it was never a safe queen.
I wish I was in that good a shape, frankly...
