A scope mount- mounted to the stock?
I've toyed with a couple of ideas to do this with my stocks, but never felt comfortable with the concept being absolutely rigid enough to hold zero perfectly.
Is the forward hole into the chamber? And it's not blind?
You could just run the screws in, cut them off with a Dremel, and grind (carefully) flush with a stone.
Mosin-Nagant Custom Shop/Bent Bolts
Gun-Kote/ Cerakote Refinishing
Criterion Barrels/ Savage Re-Barreling