Dont worry about the barrel. If it got normal care, its fine, especially in a single shot. While I am aware that every single shot shooter does a mag dump every shot, we typically are more cognoscente of not overheating rifles, proper cleaning, etc. Single shot shooting is a mindset.
That said, Ruger #1's can have some little idiosyncrasies. So shoot it with a couple different brands and bullets and report back. If accuracy is not what you want/expect, there are some tricks, but lets see what it can do first.
I agree with all the other comments posted. Accuracy will be fine for hunting medium and big game out to several hundred yards. It is not a target rifle. No one shoots a .30-06 single shot hunting rifle enough to burn up a barrel. Test different weight/types/brands of ammo and enjoy your rifle.
By now I'm sure it's all shot out and worthless ... I have $100.00 I can give you for it .
Just out of the goodness of my heart !
My 30-06 , the only rifle I own and shoot/hunt a lot , is dated 1945 . 1903-A3 Springfield Sporter
75 years at least with a little care ....easy .
Mine is still going strong .
I’m on the same page as the rest. Can you burn up a single shot? Maybe, but I think a guy would really have to put in a lot of effort to do so.
I’ve generally found if the exterior of a rifle looks like it’s been taken the inside has been too. If you really want to know how much life your #1 has in it take it to a smith and have it scoped to see how much throat erosion there is.
Or just take it out and see what it’ll do.