Why would anyone want that CPU? It's 220W, his entire problem is thermal regulation.
A tossed out CPU is pretty much a cheap/free upgrade if you already have the required motherboard and PSU.
I got a QX6700 Chip to replace my Q8200 in my other system even though that raised the TDP from 95W to 130W and didn't really make up for it with corresponding increases in performance. Why? Because I could it was like- 8 dollars.
You get a chip for free or cheap that is already compatible with your system, you've got nothing to lose, really. It's not like you can stick a Ryzen 7 in a AM3+ board.
It sounds like the Graphics card is a bigger issue than the CPU anyway, if it's Fans aren't functioning when under load.