Did you happen to update your drivers? When I updated my geforce game driver it started giving me bsod while play FO4. Had to roll them back, but still have ctd issues (no blue screen though).
I would just like to say that I have the exact same problem. I played flawlessly for 5 hours straight yesterday/early today. Then suddenly when I tried playing again the screen goes black and freezes the entire computer so that I have to manually reboot it. Now I get the "drivers stopped working" thing aswell. Really frustrating. Seems that something changed withing a 12 hour timefram that totally messed up the game for me. It is utterly unplayable right now. A couple of minutes of play and the computer either freezes or the driver stops working. Running on a GTX 770.