I totally butchered a stuck scope base screw on one of my guns, and a gunsmith on one of these forums recommended an "easy out" screw remover. With nothing more than a set of the easy outs, a center punch and a proper drill bit, I easily removed the screw. Basically, you center punch the screw, drill the appropriate size hole, then tap in the reverse threaded "easy out" bit and turn the screw out. I think the entire process of tapping, drilling and screwing helps to loosen the screw so it comes out easy. Good luck, Weagle