I have noticed that this game does drive my R9 280X (rebadged Radeon 7970), to it's maximum, so cooling is pretty important.
I however take it as a positive sign that the game engine is utilizing the GPU well; it may be that the routines aren't efficient, but at least the routines are keeping the GPU busy. As an aside, I have found Trine 2 to be the most demanding game (well GPU app) on my GPU. It is extremely stressful on the GPU system and I use it in place of OCCT, furmark or Unigine Heaven/Valley which don't seem to do as good a job at detecting instabilities and reaching a maximum temperature, where Trine 2 will.
Hmmm...
Recently my GPU would just give a black screen when switching to windows. Whatever I did, I could not get the display to appear in windows (last know good configuration, low resolution mode, etc would not work)
What I had to do, was boot into safe mode and completely remove the device driver for my display (as well as the installation files). Can you try that?
I only have a single display, so this may not help, but I would be interested to know whether these problems i've seen a couple of times on my PC are related to a failing GPU or whether there was a microsoft update that might be responsible.