So normally your Windows is installed on the SSD and you just reinstalled another copy of them at the HDD just to test if Amnesia would work. Right? So now, we can verify that the 13.1 drivers and your graphics card is fine. The problem must be somewhere at the operating system, an old corrupted video card driver residue, an option causing problems, some program/service etc...
It would indeed be great to find out what was causing this so that it can be added to the known problematic programs, but what exactly may be rather difficult to pinpoint unfortunately. You uninstalled every program so it's not them apparently. My guess would be broken drivers, residue especially causing conflicts. In general I would use:
1)
Driver Sweeper v3.2.0 and select AMD only to clean residue files after uninstalling the drivers normally. Reboot and then a clean driver installation.
2) Do a system cleanup and registry error check via
CCleaner +
CCEnhancer. Yes, it may even be a registry corruption somewhere causing this.