Ok, I went ahead and dug some more around the internet. Turns out that the solution is posted in another forum.
It has nothing to do with drivers, and everything with settings:
Intel HD 4600 Problem - techPowerUp! Forums
The third post in this forum is the way to solve this. It's a strange way of doing things, since we basically have to 'fake' a monitor connected to this output before the control panel works. A more elegant solution would be to make it work, but notify the user that no monitor is connected to it.
Hope this helps others with the same problem.
Cheers.