Besides all this,what I usually do in this situation, (not my first rodeo), is chuck up a carbide dental burr in the dremel, spin it as fast as it will go, and "paint" a new slot in the exposed end of the screw, then just use a flat bladed screwdriver to spin it out. Usually by doing this, it releases any existing crush, or tension on the threads, and the screw spins right out. I get broken scope mount screws in the shop pretty regularly. I'm sure this is bigger than the 6x48 mount screws I usually deal with, and therefore, probably easier to take care of. But, as I tell my customers, "minor miracles on a daily basis".
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