You should measure the barrel WIDTH at the part right below the front of the sight Dovetail with a Dial Caliper or Micrometer.
Then measure the Barrel Width right below the Rear of the dovetail.
Then subtract the .312 BORE diameter from those two numbers, and then devide each of those numbers by 2.
That will give you the barrel Wall thickness at the front of the dovetail, and the rear of the dovetail.
And that is the area you will be drilling to mount your base.
Your mount has set screws that Pinch the scope base on the dovetail , correct ?
Leaving the set screws and drilling and tapping the Base, so you can add two more set screws going Down may just keep your mount in place without having to drill into the barrel.
And you can install the mount with the top set screws tight, then remove the base, Look for the set screw marks on the flat of the dovetail top, so you can drill two Detent dimples in the top of the dovetail to help front and rear movement.
Then if that doesnt work, you can drill the base out thru the same holes for a screw to pass thru, Then, drill and tap the barrel in the same detents, for the new screw to thread into the barrel.