Regardless if you have a pistol, rifle, new, old, blue, stainless, silver, gold, or what type of wood. Microcrystalline wax is absolutely the best solution for ANY part you can get it applied to!
This is pretty much what ALL the museums use anymore and it can be safely applied to any type of surface. It's none abrasive and will provide an insulating barrier from even the worst environments. The protection is radically better and you don't have to oil and whip you firearm every time you touch it. Coat whatever you can and oil the inside where you can't

This is typically sold under the name brand of Renaissance wax can be obtained from museum supply houses but you can EASILY find it googling on-line or almost any good woodworking shop.
I have, well dozens, of modern firearms too I used this on but the majority of my collection is antique. I can put this on show, handle, and drop them back into the safes and never have a concern. I can only go back 20 years or so with experience but never had a regret!