When the computer is using a discrete video card and the onboard video at the same time sometimes it is necessary to change some additional settings in the bios. I recommend getting in contact with ASUS to check if it is necessary to change some additional settings.
Thanks for your reply, Fred.
According to the manual, the BIOS allows for two things. First you can set which graphics card should be used during boot and secondly you can enable or disable iGPU Multi-Monitor. I have this enabled.
I searched an Asus support forum and found that there are more people having similiar problems. But I did not find a solution.
I also think this is in fact not an Intel issue. I've disabled the Intel Graphics adapter in the BIOS and installed another NVIDIA card I had lying around. This worked fine until Adobe Bridge again caused a BSOD. After that it's impossible to get this second card going, device manager says the same: 'This device cannot start. (Code 10)'. I restored my computer with a disk image to get it working again and swithed it off. This morning, after reboot, it's broken again so there's something weird going on.
I have a feeling it's a driver getting corrupted.