I can see from the pics that its virtually flush with the block, so a stud extractor wont work, your right not to consider easi outs, if you break one off you got a big problem, they are usually recommended by people who haven't used em but seen them on the net somewhere

If it were mine I would go for drilling out and re tapping.
You need a good clean center punch hole in the center, initially drill out a pilot hole with a 3mm drill steadily with a bit of lube (Wd40 will do at a pinch) Try to keep the drill nice and square to the job so you have a nice hole straight down the center of the broken bolt.
Your 2nd drill should be no more than 7mm this is the size for tapping a M8 hole (Which is the size it is)
The hole is 33mm deep maximum, dont drill deeper ! in fact 30mm should be OK, put a bit of insulating tape 30mm up from the point of the drills so you know where you are.
You need an M8 Tap that taps to the bottom of the hole
When tapping it with the M8 tap, wind in a bit then out, work your way in like that all the way, use the lube and a bit of compressed air would be handy to periodically blow the hole clear
Buy a good quality Tap, there are some rubbish ones out there, a broken tap is as bad as a broken easi-out! go to an engineering supplier preferably
The subframe can be swung up out the way, remove the long stud on the bracket above it or tap it into its hole a bit and lever the mount point back a bit.
Best of luck with the Job, it will be worth it for peace of mind
