I've only owned two #1's and the first, a .458 Win Mag, had the same problem. I really wanted it scoped, but with the heavy recoil, I didn't want to climb the stock, and get hit by the scope when I fired it. I gave up, and bought the 1978 vintage Lyman Centennial model, with factory Lyman scope, which I still own. It's a great combination, and the whole package fits me perfectly.
Yea, I know they were commemorative, and I'm not supposed to shoot it, but someone did before me, so why not go for it! It's a great shooting, super accurate gun.

I have just bought a stainless/laminate #1 in 375 h&h and had a question about mounting a scope, does anyone have any problem with eye relief? looking at the rifle it seems that the scope will be mounted way to far forward, I dont have a scope to try on it yet, not even on another rifle, can someone lay my fears to rest please?

i always use old style leupold 4x scopes because of the problems you have noticed, if you can't find 1 try a 1.25x5 leupold

Try an old Burris Fullfield series scope. I had one on a #1 in 7mm mag. It was a 3x9 fullfield. Eye relief was fine due to the fact that the adjustment turrets are positioned differently on these scopes. Good shooting!

You might need a set of offset rings (Ruger or Leupold). Quite a few folks have the same problem. I'm one. It depends how you shoulder the rifle also.
Dave

I have (2) #1S, both mounted w/ Leup. VXIII 2.5x8 in Ruger rings. They are a tiny bit farther forward than the same scope mounted on my bolt guns, but it doesn't bother me.