Broken Stud Removal - Done Right

it would be easier to take the head drill a hole in the center and then weld in that hole while you place it ontop of the broken piece inside.
 
seems like the hard way to me ,put the part in a ram EDM and burn the old stud out leaving the threads untouched .welding is dirty tedious and may not work plus high heat can warp aluminum and cause sink spots and meltdowns
 
No machine shops close to where I live have an Electrical Discharge Machine. There's a shop with a wire EDM but that's no good for disintegrating bolts/studs. Nuts and a MIG welder are my only option.