Well, Still not working. So far I have created an recovery image on my thumb drive and restored twice but my keyboard still does not work on my SP4 (it works on my daughters). I have downloaded and ran the Surface troubleshooter application that MS linked me to. It found several out of date drivers (really??) and installed them.
Finally, I called MS and spent an hour on the phone (well, 58 minutes) and went through all their extensive troubleshooting steps - most of which I had already done, and my Type Cover Keyboard still does not work. So, I have been assigned a ticket number and have to drive to the local Microsoft store and see what they can do. Big problem for me is I purchased it early 2016 so it is out of warranty.
My guess is that this is due to a firmware update gone bad. Since reinstalling the OS and drivers does not fix it, my guess is something in the Bios is screwed up.
Damn....
David