To me is this:
Backup is for DATA (like your pictures, letters, videos).
Image is for DISASTER RECOVERY (take a snapshot "image" of your working system).
Windows has a thing similar to Image and is built into its backup and during any changes to the OS, it take a "little" snapshot, am guessing the registry and certain other things but definitely not the WHOLE OS. I don't trust MS, I trust a true Image.
To deal with your BSOD...
1. Re-install OS from scratch, perhaps wo the GPU at first. Make sure things runs correctly, give it a day or two.
2. If everything good with 1, then Make an Image here and label it Gen1.
3. Now install your GPU, runs a few GPU intensive to make sure, again wait a couple of days to make sure things are stable.
4. Again if the above OK, then Make another Image and now label it Gen2.
See the gist? If at any point you get BSOD, of anything weird and of course you forgot exactly what you did or changed, you go GO BACK to a known Good Image, like a time machine. Yes, you may have to re-install a driver or two but better than trying to figure out what all that BSOD that nobody understand.
Be aware sometimes MS auto update may mess things up for your WITHOUT YOU DOING ANYTHING. To that end I always do manual updates, but this part is up to you, am certainly not trying to pontificate.