Just thinking about it,,not having done it,,,
Would this work??
Mount the rear scope mount to the recv'r. It pretty much goes in one place on the M/S so as to keep it's top surface flat and square with the action. Not canted to one side,,,
Then with bbl'd rev'r in a vise and a optical bore sighter in place, I'd put the scope w/claw mt on the rifle,,securing it in the rear mount. (I only say an 'optical' bore sighter as that is all I have ever used..newer tech may apply!)
Scope should have it's elevevation adjustment centered for this.
Then raise and lower the front of the scope and claw over the front recv'r ring till it's elevation is centered in the bore sighter.
Using simple number & letter drills betw the scope claw mt and the top of the recv'r ring to prop it up to the right height will give you the dimension of how much of the dovetail mount sits above the ring.
Simple math and the thickness of the mount block will then tell you how deep the dovetail cut in the ring should be.
How's that sound!
I've got a couple M/S that were scope mounted w/the dovetailed front recv'r ring. One, a M1910 is missing it's mounts & scope.
I can measure the depth of that one if you want. I remember that you can just start to see the tops of the threads in the bottom of the cut and that's not uncommon.
I think I have a couple of the front claw mt's for M/S that mounted on the bbl shank just in front of the recv'r ring also.
They are a full band w/the mount block and were soft soldered on. One has it's thin band cracked IIRC,, but no matter.
The measurement from that (top of the bbl to the top of the claw mount right in front of the recv'r ring) might be helpful also?
I will see if I can find those mounts.