To clarify, were you able to install the 15.366.19.4170 driver on the NUC?
Have tried to install driver 126.96.36.199.4170 from https://communities.intel.com/thread/63760
During installation disclosed that the driver called 188.8.131.52.4170 but install instead a driver 10.18.14.4170 (See photos of the installation).
Subsequently, I see the following drivers in the system.
I must conclude that it is not possible to install 184.108.40.206.4170 on this NUC D54250WYK.
From the images you posted you were successful in installing the 220.127.116.11.4170 (10.18.14.4170) driver. The build number, 4170 is the indicator that the installation was successful. 18.104.22.168.4170 in the Intel build number for the driver. 10.18.14.4170 is the numbering system that is used by Windows for the driver build.
Here are a couple of links that detail driver numbering:
As for the black screen issue with VGA, I am investigating the issue and will post updates to this thread.