I have the same problem as you, unfortunately.
I have a GTX 670 and have just upgraded from Win 7 to Win 10. Since I upgraded the game wouldn't start any longer. But using he Windows compatibility tool didn't work for me.
You and I are brothers in arms my friend. I have a GTX 660 and also upgraded from 7 to 10. Classic works better than DE currently and I will update you when the situation changes.