How about:

1. Bxh7+ Kxh7
2. Rh3+ Kg8
3. Bh6 Kf6 (Black might be inclined to take the white bishop with the black pawn, but that would result in checkmate if Qg4)

At this point white had a great position, but tons can happen from here so I'm not sure if this is the solution. Ah well, I'll leave it to a greater mind to figure out.