Ok your options are somewhat limited.
An alternative suggestion would be to drill it out which is usually quite successful but you do need a good starting point in the centre of the duff bolt.
Even if you just drill a hole through the bolt, (which was slightly off centre), the vibration/heat may serve to loosen it.
If not you can then enlarge the hole, (up until you hit the thread), and it should then virtually drop out.
If all else fails you can always use a helicoil once you get it out.
Trouble is if your bolt is high tensile steel - as you will then need suitably specified drill bits.
Bit of a pain but really satisfying when the blighter finally twists, (or drops), out!
Had a similar issue with a Caliper bolt on my Jeep GC which I had to drill it out, (it was not easy and was in a very awkward area - stub axle).
There are also counter clockwise drill bits, (and stud removal tools), for such occasions but I have never used the CCW drills and I have never yet managed to extract a single bolt with my stud extractor set!
Typical how one simple job leads to another, (more complex job), every single time!