You of course are going to have to drill it out. There is no other way. To drill out a broken bolt, I always use a left hand drill bit and run the drill in reverse. Usually at some point in the drill out process, what is left of the screw shank will unscrew itself out. Harbor freight sells a set of left hand drill bits but like all their bits they are not the best. You may want to measure one of the screws you got out and look up its minor diameter so you can order a quality HSS left hand drill bit that is just smaller than the minor thread diameter. the process is: drill a little, apply some Kroil or PB Blaster, drill some more, apply more lube, and on and on until the broken shank twists out or you have completely drilled it out.