It's good that you have transmission removed. If I was you, I would just use the hardest drill bit I could find of a large diameter and drill as much of that bolt out as possible, then use other tools to extract what is left. I had to do this not too long ago with an aluminum block drain bolt for an inline-six M104 engine. It was not pretty, and of all the automotive jobs I've ever done, it was probably the one where I came closest to having to actually call in a professional to help. Fortunately with persistence I was able to complete the job.
As an alternative: perhaps "soak" the bolt with a penetrating solvent (we have Kroil and PB Blaster here in the US for this) for a day or at least a few hours. Then use your left-hand bit to try to turn the bolt out.
The best thing you can do is have patience, perseverance/persistence, and don't rush it. If you find your level of frustration is getting high, then stop for the day and pick up the job later on.