I realize it has been awhile... but I thought I would update this thread. I ended up cutting the door handles off. Someone had used epoxy to keep the handles from coming loose. It worked very well! They definitely were not going to come loose! So I had to buy two new door relays and handles. But I have no problem opening or locking my doors now.
I have a 1952 3600. I ordered and received new door relays for both doors because the splines on the shaft are worn and the handle will spin freely on the shaft (I have to open the door using the outside handle now). The new ones look the same as the originals. The problem is one of the three screws holding the mechanism onto the inner door panel is covered up by the pivot for the relay arm (see the attached image). How do I remove this screw?
You have to move the pivot arm back towards the door. Sometime this pivot arm won't move because the latch sticks. You can loosen the bolts on the latch and move that a bit so you can get to that screw holding the remote on.
Andy, I understand what you are saying and I think that should be the normal way to do it. I can get the arm to move but not enough. It still has the original clutch head screw so I need to be able to get good access to it with my driver. I will try JD1's suggestion to see if I can get the pivot to move back toward the latch side of the door. I sure to not want to have to take the latch out completely. Thanks to Andy, JD1, and MNSmith for your help. I'll let you know how things go when I have a chance to get back to the task. By the way, here is an image of the vehicle in question.