It is VERY interesting that you had the black screen + fan at 100% speed issue already and THEN the VRM exploded.
you should read this, a user quoted a EVGA support email a while ago where they say that they had a bad batch of VRMs that run out of spec and this entire black screen issue is a "Over Current Protection" mechanism:
http://forums.evga.com/1080-FTW-owner-Am-I-the-only-one-thinking-that-all-this-is-a-bad-joke-m2574912.aspx#2575115 so far there has been no proof of a connection between the black screen issue and the exploding VRMs.
you just delivered a very interesting puzzle piece.
i think we now know what happens when this OCP mechanism fails... POOF.