I can't say this is the way the Edge is designed, but with my Mazda, when I broke a stud, I was able to remove it without removing the hub. The stud was press-fit into the hub. You can either use a punch and hammer it out, or a c-clamp and press it out. I put the new stud into the hub and threaded a lug over it. I had to buy a lug that is open at the top, not one of the "nice" looking ones that come with the car. I then used an impact driver to tighten the lug and pull the stud into the hub.
Again, I don't know if the Edge is designed the same way, but it might be worth taking a look.
I called a few different auto parts stores until I could find one that had them.
Good luck