Numerous BSOD screens, have tried everything cant find problem!

Yes, do it. Before doing it, off the power for security reason.

If it crashes the same with onboard graphics too, we have at least one probable cause eliminated.

In the morning, if it crashes again, post it following the Blue Screen of Death (BSOD) Posting Instructions.

For normal usage, in the morning, when you first turn on your computer is the most stressful part of the average day. All components all of a sudden have to start up, and like most things, like me, getting started is the hardest. However, it is hardest on the power supply. All of a sudden everything in your computer is demanding resources from the power supply. Probably, the component that requires the most of any component is the Graphics card. Arc, is a BSOD analyst, and very good at what he does. He reads the dump files to tell what happened, as much as they will tell you. I am a hardware guy. I'm not smart enough to read dump files. Greg Rocker is probably the best on the internet at installations of the OS. So, from my perspective, the morning problems sound more like the PSU or the graphics card. You get a black screen. Is that because the Graphics card is failing or because the PSU can't provide enough power or because the drivers are somehow messing it up. That is what Arc is trying to determine. By, removing the GPU from the equation, we are eliminating the Graphics failures and lessening the draw on the PSU, if you will unplug the power to it. I also know that a card that idles at 60°C, is not normal and cannot be caused by bad drivers. I also don't see how it is possible that the computer shops stress tested it, and it passed. You had to turn the stress test off because of overheating. To give you an example, I have a GTX 670. I run stress tests often with it. During the test, mine never gets past 60. Some cards do run hotter and probably 80°C is max for most any card. Also, Memtest is not infallible, but it is the best test we have for ram. A known error code for ram errors is 0X50 which you have had several times. An error in the hard drive can also cause the drivers to become corrupted and cause the graphics card to fail. Those are some of the things we are trying to figure out right now. There is no one thing, unfortunately, which will say this is what's wrong. It is a combination of several things. The only way to troubleshoot the problem is by the process of elimination. That is what we are doing right now. There is no test that I am aware of for the Motherboard. The PSU can be tested by a multi meter, but I do not know if it can be tested under stress with one. A clean install would eliminate the drivers question or a conflict with software and drivers. It could be done more easily for you if you had another known good hard drive, without affecting your current set up. I have done that and all of these things we are talking about, numerous times. I know how much of a pain it can be, but it is really the only way, unless the failing component just quits working at all. This is only to explain to you why we keep asking these questions. And, as a personal bias, I have no faith in anything a computer shop tells you. That is from personal experience and why I began building and troubleshooting my own computers.

Again, trial and error. If you unplug it, it will not be a draw on the PSU, so if you have no problems, you won't know which was the issue. If you leave it connected and it works, it would be the graphics card is bad because there would be the same draw on the PSU, I'm pretty sure.

Also, you asked about Graphics cards, if it comes out to be that. You are limited by your PSU as well as your budget, but there are several that should be good. Take a look at the EVGA 650 TI. It asks for a minimum 400W PSU, which leaves you some room. I always allow for future expansion as well as the PSU won't work as hard and probably last longer. That's not the only card, just one to consider. And I'm partial to EVGA. They are one of the few technology companies that have good customer support.