CBI Light Varmint Contour in B&C Medalist Sporter Stock

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Looking at building a .280 Rem from a 116 SS action. I'd like to use a B&C Medalist Sporter and a CBI Light Varmint Barrel. Anyone get this to fit, and how much sanding did it take? CBI Light Varmint is .700" at the muzzle at 26" long.

I've searched everywhere for measurements of the barrel channel and I'm not having any luck.