I'm having the same problem on a Surface 3 Pro. I get a BSOD with the error:
video_tdr_failure(igdkmd64.sys)
I have 2 external monitors connected but the problem occurs even when there is just 1 external monitor connected. I'm not sure if it happens when I am not using an external monitor.
I have done as you suggested and uninstalled the display drivers, and let them get reinstalled on reboot. There does not appear to be a more up to date driver available.
I am still getting this error on my tower. As soon as any video appears ie facebook, my second screen stops working properly and eventually I get a BSOD with video_tdr_failure(igdkmd64.sys) shown.
On my laptop, even though all the correct drivers are installed I cannot run a second display or projector etc through the external video ports, HDMI or VGA.
As one of the beta testers all was fantastic 2 weeks prior to the general release, it took this long before the external screens would work on my laptop, but then everything went wrong and it is now severely affecting my ability to operate my business
Any suggestions that work would be appreciated or I will have no option but to migrate to Apple!
Martin Foreman