I have searched and tried a massive variety of solutions offered on MS and other sites. So far, nothing seems to be much help. Others are not describing the problem the exact same way I see it, so let me explain what I end up with.
When logging into Server 2012 R2 running on an Intel S2600CP motherboard, the login is accepted and the screen goes black. This happens both at the system logging in locally and also when using Remote Desktop Services. It does not do it every time, but less than every fourth time. If you allow it to sit, then you will get a desktop in about 10 minutes. If using remote, you can disconnect from the session and remote right back in. When you do so, you get the desktop immediately. If you are local and get the black screen, you can remote and get the desktop immediately. Then you can log back in locally and the desktop works fine as well. All MS updates have been installed and Windows Updates reports that there are no further updates available. This happens with user and administrator accounts via remote.
Most places point back to MS update 2887595 as a possible solution. I do not find this update installed or offered. I do have the current update rollups showing as installed. In the 2887595 it reports that installing it on certain system will cause those systems to crash.
Looking for other items to try as the problem still has not been resolved.