The latest driver compatible with Z77 is 18.104.22.1689. It may be listed as a version as late as 22.214.171.1243, but the driver itself is 126.96.36.1999. Drivers that are 11.1.*.* or later are not compatible with Z77.
I'm curious as to why your device is not showing. It might be showing under "Other Devices", but knowing Windows 10, it might be running it's own driver. Intel Chipset driver package also has it's own NULL driver it will use for ME if installed.
If you want, I can look at it through teamviewer as I am genuinely curious.
Intel Core i9-9900k (Silicon Lottery 5.1GHz @ 5.3GHz 1.36 VCore)
ASUS ROG MAXIMUS XI APEX
G.SKILL F4-4000C19D-32GTZSW (2x16GiB 4000MHz 19-19-19-39 2T, tuned to 4133MHz 14-17-17-31 2T)
EVGA NVIDIA GeForce GTX 1080 Ti FTW3
Seasonic PRIME 1300W 80+ Platinum