BSODs & Monitor Signal Loss, GRAPHICS_DRIVER_TDR_FAULT

(I also posted this on EightForums before realizing I wasn't on TenForums.)

System Information

Make: Dell
Model: XPS 630i (~9 years old)
Original OS: Windows Vista SP1
Original GPU: GTX 280
Current OS: Windows 10 Pro
Current GPU: GT 610

Summary of the issue and steps I've taken...

Mums computer, she said she's been having an issue with it for months (first I heard of it) where the monitor goes black and she has to forcefully reboot the machine (hold power button/cut the power). I don't know when it started, it may have been after I installed Windows 10, one of the automatic updates, or anything else. The system originally came with a GTX 280 which died a while ago, it was replaced with another card (I don't recall which one) and the fan went bad on it, finally I replaced it several months ago with the current Asus GT 610.

What I noticed upon first inspection: The Windows 10 Pro install that I installed was still installed, ran smoothly, and was clean of any spyware, malware, or virus. Seemingly randomly (no noticeable pattern as to when it happen) the system freezes for a few seconds before the screen would go black and enter power-save mode. I could still hear the system running, so I assumed just the graphics card was acting up.

I did some troubleshooting, which included: (in this order)
- Checked all power options to ensure they were configured to their full performance/non-power saving values.
- Updated the nVidia graphics drivers.
- Ran Windows Update
- Used DDU to uninstall all drivers, and installed multiple different drivers (one at a time, obviously, including the latest and other randomly selected versions).
- Bought a new 750W Corsair PSU and installed it.
- Updated the BIOS to 1.0.13 (latest available on Dell's site).
- Ran sfc /scannow, all good.
- Ran Memtest, all good.
- Ran the system's diagnostics, all good.
- Cleaned the PCIe port and reseated the card.
- Tried a different PCIe port.
- Created a new Windows 10 user account.
- Set the TdrDelay to 8.
- Removed TdrDelay, set the TdrLevel to 0.
- Reinstalled Windows 10 Pro.
- Took the GTX 760 from my working machine and tried it in my mums computer.

Despite all of that, and after each step, the problem has continued to present itself. The only thing that sort-of works is to run Windows in 'Diagnostic startup' mode or safe mode. In either of those modes, the issue is not present.

After reinstalling Windows 10, I noticed that when the monitor loses signal, it sits for a few minutes and then reboots. What I've deducted from this is that it's more than just signal loss, but it's also getting a BSOD at the same time and the time that it sits idle after going black is when it's generating the crash dump. I didn't notice this before because apparently the system was not set to automatically reboot.

Upon analyzing the minidumps, I see that I'm getting a mixture of CODE_CORRUPTION and GRAPHICS_DRIVER_TDR_FAULT. Though I'm not quite sure how to interpret what this means or the rest of the dump file. Furthermore, I've noticed that if I set Windows to not automatically install drivers or set my connection to a metered connection and uninstall the graphics driver, everything works fine. Soon as I reinstall the nVidia driver, the system starts crashing again.

I contacted nVidia and they were of no help. The system is ~9 years old so I doubt Dell would be much help either. I'm all out of ideas on this and would appreciate some help in resolving the matter. Thanks!

Update: I read that some people had issues with SSDs, I figured it was a long shot but I had some spare 4TB WD RE4s laying around so I put one of them in and installed Windows on it (removing the SSD) but experienced the same issue.

BSOD Posting Instructions

What we need is your system to be stable enough to run the DM Log Collector, if that means uninstalling the graphics driver then please uninstall the graphics driver. Without the logs it can be quite difficult to properly troubleshoot.

The dumps aren't included because I had moved them to my desktop when I created the first post.

What was the reason for moving the dumps to the desktop?

Analysis can't be done properly without the dumps.

Indeed, only issue is that crashes have occured that are more recent than the onces uploaded.