The left hand drill bit can work, but I really recommend welding another bolt onto whatever is left of the stud. The heat of welding will break the broken piece free, and then you can just unscrew it. Since you have 2mm left above the surface, it'll be an easy job. If you try to drill it out with a left-hand bit, or God forbid an EZ-out, then you could destroy the metal available for welding and ruin your chance at an easy repair.
The steel bolt will not weld itself to the aluminum, and any competent welder can weld a bolt to the remaining stud without damaging the aluminum. Make sure to lay down a towel over any bearing surfaces that might be exposed to protect them from weld splatter.
FYI, I've done this on 14 bolts now, and I've only had one bolt that I couldn't remove. I've NEVER had any damage to the surrounding aluminum.