I have had the same problem on my wife's 03 JGC with the 4.7, the rearmost bolt broke and created a small exhaust leak. It was years ago but the only good advice I can give you is to grow smaller hands, maybe a yoga class, and some sort of zen thing for patience.
Thankfully on mine there was enough bolt protruding that I was able to remove it without pulling the manifold, hopefully you'll have the same luck. I put in a hardware store stainless steel bolt to replace it and haven't had a problem since. Good luck!
If you can get at any part of the end of the stud, dremel a slot in it, then use an 'impact' driver to loosen it. ('Impact' meaning the kind that looks like a punch and you striek it with a hammer.) It ight be enough to loosen it.
If you can't put a slot in it, dremel a 'land' on it and use a drift pin or punch of some kind to turn the stud.
If neither works, you'll likely have to drill and re-tap the hole.
Did you access it from the bottom? I can see it but I can't get my hand up in there, even on the lift. I'm not going any further tonight, but I'll at least have to remove the heat shield and steering shaft to possibly get up in there.
If you can get at any part of the end of the stud, dremel a slot in it, then use an 'impact' driver to loosen it. ('Impact' meaning the kind that looks like a punch and you striek it with a hammer.) It ight be enough to loosen it.
If you can't put a slot in it, dremel a 'land' on it and use a drift pin or punch of some kind to turn the stud.
If neither works, you'll likely have to drill and re-tap the hole.
Um...well......I can't get my hand in this blasted thing no matter what I do. Dang, why do this little problems have to be such a big project.
I spent the better part of a day on it when mine broke...all for a 50 cent bolt. Lots of patience required but you'll get it if you bleed enough!
Did this twice on the same manafold after the first time it broke a few months later. It was so easy for me. Once the stud broke the stud left in the truck I was able to remove by hand.
Pain free as possible? Pay someone else to do it!My father's truck will not pass state inspection due to an exhaust leak at the drivers side manifold. I haven't torn too far in to it yet, but there is at least one broken stud. Has anyone tackled this job before? Any tips or tricks to make this as pain free as possible?