that type of stud extractor wont fit in the head area around the stud.If you have that much sticking it out, you should be able to grab it with straight jaw or needle nosed vise grips. Use a torch to get the head very hot (not the stud) and it should come out easily (a propane torch wont get hot enough
HD has one
It uses mapp & oxygen that is awesome. I have one you can borrow, but you'll need to buy tanks. (for the price of the tanks you should just buy the torch. Theyre a good tool to have)
This is the welded nut method....
Also...I have a bus towbar. You can take it to a weld shop (or to your dad's thumpup)- )