After reading through the various threads involving removing broken exhaust studs it seems like there is a general consensus on this method.
1. Accurately center punch the broken stud.
2. Drill down the center of the broken stud with a 5/32 carbide bit.
3. Drill down the 5/32 hole with a left hand drill bit applying WD-40, PB blaster and or heat to assist.
Question: What size left hand drill bit? 5/32 is .156 and a #9 which is used to tap a 6mm hole is .196 so that doesn't leave much room for the left hand bit to grab on to. This is also assuming you have drilled the initial 5/32 dead center in the broken stud.
The safest route is probably to take it to a motorcycle shop that has experience do this, but it is also the most expensive.