A tech I worked with broke an alternator mounting bracket bolt off On an Audi head and proceeded to drill and tap as you did and ended up with a broken tap also. Being this was a 2012 A6, we really didn't want to have to pull the heads and the tech looked like he was about to quit his job after a full day of disappointments. Me and the Senior tech at the time decided to jump in as he basically gave up and was in "pout and stare at it mode".
We ended up welding a bolt to the tap (just the tap) and that held and we were able to extract the tap (aluminum head). The tack welds had to be accurate, hot and quick but it did work in this case. I don't know if the tap is in the hole or some of it is protruding in your case.