Personally, that stock is NICE. I would get a modern scope, and as mentioned keep the old one in a box somewhere. The difference in clarity from new cheap scope to old high dollar ones is amazing, with the favor going to the new cheap. Put a new high dollar scope and it will floor you. One major improvement in scopes is keeping the inside clear in bad weather. The old scopes were infamous for fogging up. I just replaced one very similar to what is one yours, Mine was a 4x on my 22 and it finally dawned on me it was foggy. Duh, should have swapped it years ago.

There's nothing wrong with the 30-06. Since you don't reload, get a few boxes of 150gr bullets for deer and 165-180 for anything bigger. It will have some recoil, but what you hit will be dead. Shoot the heck out of that rifle and if you want to tinker, buy a new donor Savage and have at it. Will probably be cheaper in the long run to do it that way anyway.

I forgot to add, I REALLY miss stocks with those high combs.