I have the same issue, R9 270 reference model. I go to install the latest drivers (16.40.2311) after doing the windows 10 Anniversary update after 2% of the install of the display driver the screen will go black. I can see my mouse and can move it around. I go in via teamviewer and can see my desktop but if I open the start menu it just displays the boarders and the main part is black.
If I tell my PC to restart in safe mode via teamviewer and then install basic drivers from device manager I can then reboot and see my desktop again. I have been able to install an older driver and get that working but if I go into the radion setting panel and go to the displays panel it crashes. I tried to update the drivers from the settings panel and then it goes to black screen again. Then it is rinse and repeat.
I am running windows 10 home 64bit build 14393