The problem isn’t limited to the rail. When installing a scope on a Savage long action you need to consider the length between the bells of the scope. I went through this very same issue with my first rifle.
Even with a rail installed I found I could not get the scope close enough to my eye, the forward bell would contact the rail.
I started to look at the distance between the bells and found a Nikon 4-12x44 scope that fit me and my setup. Higher rings would solve the clearance problem with the front bell, but the increased height created a new problem. I couldn’t get a decent cheek weld that was comfortable for me.
I was setting up a hunting rifle and if your application is different, then my experience may not be of much use to you.