I have this problem too, or what sounds like the same problem. I have an Acer Concept7D laptop, Windows 10, and when I try and connect it to an external display I get intermittent hanging - I've tried new terminal, new cables, HDMI, display port, updating drivers, sent laptop back to Acer, came back with the same problem. It seems, as someone else mentioned, to be triggered by a movement of the mouse of any type(internal touch screen, external mouse, wacomm tablet). The external screen goes blank - usually black but it could be a colour also, the laptop screen hangs, then resets, and the external display is unavailable until I unplug HDMI cable and reconnect it.
One specific action is when I am using a software package (Inkscape and GIMP for example) when I go to the file menu to save the file, as soon as the cursor moves to the box to enter the filename, the screen goes blank. I put a message on the NVIDIA forum and someone on there had experienced the same problem. He said he manages to fix it by:
doing a clean Windows 10 install, offline,
downloading the NVIDIA drivers prior and installing them when windows was not connected to the internet
not allowing the Microsoft apps and drivers to download during and after install.
I did try this but had to connect to the internet to download my app software, which meant that drivers were automatically installed, so I will have to give it another go. But others might find it useful, If you try it let me know how you get on. I'm building up the energy to do another clean install myself.