BSOD :: Display Driver Stopped Responding And Blue Screen When Not Gaming

I've been having this issue for almost a month now and nothing I have done has managed to fix the issue. Randomly I will get this error message:

After a few of these error messages it will eventually BSOD or freeze as seen here:

I will get both of these by doing pretty much any task on the computer, whether it be watching a video, browsing a site or even just sat at the desktop. However extremely interesting is the fact that this error will not appear in any form whilst playing games on the computer. It will not error or BSOD or anything. But doing any other task will do so, even if i have 1 program running on my entire PC.

Things I have tried so far:
Updating drivers
Uninstalling/reinstalling drivers
Installing beta drivers
Using 'Display Driver Uninstaller' to clear drivers
Cleaned out the PC of all dust present
Took out and reseated graphics card from motherboard
Put my 2 RAM sticks into different slots on the motherboard
Unplugging my 2nd monitor so I am only using one
Adding a TDR delay to my registry
Full virus scan
Updating my BIOS software

The only things I have not tried is swapping out hardware components as I am unsure if it is a hardware issue or a software issue as of yet.

I've noticed that the BSOD and errors become more common the longer the PC is left on. For example last night it was blue screening every 5 minutes of being active.

The error does not seem to continue whilst in safe mode as last night i spent a long time in 'Safe Mode Networking' in order to look up possible fixes. I am not sure if it does not continue because of drivers not being in use or because the quality is much lower than normal.