383 Broken exhaust stud please help!

when i've had them drill off centre like that i've carried on, tapped a new thread (off centre) and filed the header flange hole off centre to suit where the new stud will be. never gave it a second thought and much easier/quicker than pulling heads and/or paying a machinist to get a stud out.
Yeah, well... that's probably not the best way to go about it..