is there much of the easy out sticking out the hole? could try welding a nut to it and using a spanner. or go a get a right angle drill, about 10 drill bits (or if your any good at sharpening them do that instead), and some patience, and drill the EZ-out out. use right twist drills for this and hopefully the if the drill grabs it will loosen the EZ-out and screw it out.
to remove broken studs i always use left twist drill bits, when your drilling the stud the drill bit also unscrews the stud at the same time, easy.
a couple more ways would be:
we sometimes remove broken taps (same steel as an EZ-out) at work with an oxy/acetylene kit, with a really small tip heat the tap till its really hot, then turn the acetylene off, the oxygen blasts the tap out.
a costly method would be with a spark eroder.
or remove head and get it milled out.