I've done this a few times and can usually get it out in about 10 minutes. I've always had great success coming out from the front of the truck since I'm lifted. I don't even have to jack up the truck or take the tire off. Through the tire well, I recommend disconnecting the clip-on circular harness (it's kind of a pain, as the release clip doesn't flex a lot) and removal of the nut holding on the cable as well (10mm, IIRC). Then remove the 2 bolts holding it in place. I use a pry bar to dislodge it from the bracket it sits in, and then, if you're lying on your back looking up at the alt., there's a little path that you can use to bring it down by rotating the pulley down towards to ground. It'll take some wiggling and rotating, but it'll come out.