A little trick I've tried that may or may not work for you...... I hang a string with a weight at the end, and shoulder my rifle. I line the vertical lines of the scope up with the string. So every time I throw the rifle up to my shoulder I'm somewhere near...
Consider this drawing.... A is the wrong way to install a scope, B is correct, and then you need to hold the rifle as in C....When installing the scope, the vertical crosshair must line up with the bore, as in B.... I use a mirror at half the minimum focus distance of the scope, and view the reflection of the objective and barrel in the mirror.... Rotate the scope in the rings until the crosshair bisects both.... When shooting, hold the crosshairs vertical/horizontal, as in C, and don't worry if the rifle is canted slightly.... The bullet follows a vertical path in the absence of wind.... That path must align with the vertical crosshair in the scope.... Bob
Isn't the scope rail usually centered with the bore of the barrel? I can't think of a normal situation it wouldn't be if mounted to the breech/ receiver/ barrel.