At 71 I have been a machinist all my working life. Everyone knew better then to ask me to take out a broken easy out. If they brought it to me BEFORE they ruined it it was easy, wouldn't even try if it had a stub from an easy out in it.
Two ideas ...probably no good.... 1.if you can tap that hole far enough for a few threads put a stud in there and braze the stud and threads then file excess. 2.hack job but might work...drill the head and block right next to the existing hole, where the pile of shavings appears to be left of the hole. Hopefully does not hit a water p***age. Maybe take the head to a shop and have them drill that hole, then you drill your block using the head as a guide.
I have a buddy who owns an auto repair business. He sends me all his busted-fastener puzzles. I get timing case covers, intake and exhaust manifolds and a cylinder head now and then. I have always gotten them out.
My dad (rip) a**** other things was a wizard with his Victor. We were changing the radiator in his Pete and the stud snapped a few threads in it. Bottom and top tanks are bolt on with a gasket seal to the core. (Casted aluminum). So we pulled it, he lit the torch with the bottom tank in the air above him, and dribbled the stud out. Quick and easy with a bottom tap (which hardly hung up) job done. I was like “damn”. I’m the apprehensive type, if my way doesn’t work, I take it to someplace before I eff it up.
Most broken bolt stories were rush jobs from my experience, so is extracting them when it goes really bad. I've turned down the impossible to fix ones. Far easier to get a new or used part if they are around. Taking out a broken fastener requires time and finesse.