I have an early model Savage10BA, which has the same rail as the 110BA, the new 10BA's do not have the same rail as the older ones.
I have struggled with rings myself on this rig. Everyone I spoke to said I needed extra high rings to mount the 56 mm objective on my scope. However, after ordering them and installing them, I have all sorts of space below my objective and the rail, approx. 12 mm.
The BA rail has a depression milled into the factory rail below where the objective will sit, plus the rail steps down in height from where the mounts sit, both allowing more room for the objective.
Based on my measurements I am fairly sure high rings will fit my gun/scope, which will bring it down to a more comfortable shooting postition and as mentioned above, I will not have to raise the cheek piece all the way up.
Here is a photo of my gun with extra high rings with a 56 mm objective, you can see the space between the rail and the scope.
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However, you mentioned you will also be adding a 20 MOA base. I am not sure of the thickness of the base and how much height it will add, but you may be able to use medium rings with your base.
Best thing to do before ordering is take lots of measurements. If you have any questions, or want me to measure something, shoot me a pm.
Good luck.