If I remember correctly, the last time that I stripped a door for parts, the exterior handle came off with a metal rod still attached to it, about 8" long or so. I wanna say that there was just a bend at the end of it with a plastic connector, and it was easier to take apart that connection than to remove it from the handle, but it's been a while. Don't gut the door though, just look and see if you can trace that metal rod down and disconnect it, then wiggle it out when you pull the handle off.