Hello, I'm Chris. Thanks for visiting Just Answer.
Sorry for the long wait.Many techs have looked at your post and have not felt comfortable helping. This area of concern is not my strongest point but I will try to help as best I can at least with some information. I have access to a lot of repair guides so I should be able to at least do something to aid you if your still needing help and willing to let me try.Once I post an answer you will be prompted to rate me, not the site or wait time, or the news in my answer. Please let me know exactly what you need from me so I can earn a good rating. Chris .
It would appear that the problem was very minor. Even though the wiring harness for the transfer case encoder motor looked undamaged, I opened up the surrounding black plastic loom to inspect it. To my surprise 3 of the wires had been cut, probably when I was aligning the front engine mounts and I had taken loose the rear mount to facilitate that. (I was working alone) The weight of the trans must have dropped on the harness and cut the wires. A little solder, flux shrink tubing and zip ties fixed the problem and the Hummer runs very well now.
Glad you resolved it.