Don't know if you'd want to do this on a rifle, but...When I did door installs in prisons and such, when you broke a tap, the easiest way to remove it was to take a punch smaller than the hole, and drive the tap through. Taps are more brittle than the materials you are tapping, and the threads shear off, leaving the threads in the hole intact. Like I said, you may not want to do this on a rifle. I've done it on taps up to 3/4".