Not sure if it helps, but we had the same original issue where MDT deployment (Win 10 EDU) would stall out after the OS installed. For us it was right after the joining the domain and the first restart. It would sit on the local admin desktop and you couldn't get it to launch LiteTouch to continue. Looked at all the logs and there were no errors anywhere.
Turns out the issue for us was that UAC was enabled and causing it not to launch. This was from our default workstation policy which had UAC enabled even for built-in administrator. I changed the policy settings up and restarted the machine and the imaging process picked right back up and finished! If yours isn't domain related, you can also try to disable UAC during your task sequence.