Attacking the king – rooks vs. bishops

I played a rare 15 minute game online today, and managed to get to an interesting position where bishops and rooks were tangled up in a curious way.

DDT3000 – Fundie, ICC, August 1, 2009

White to move

White is better because he controls the ‘e’ file, but here I was not sure what to do, but accidentally played the best move:
21.Ne4 This exchanges the main defender of Black’s king. Nxe4 22. Bxe4 Bg7 23. h5! And here Black started to collapse in time trouble f5 24. hxg6+

(Apparently also very good was 24. Bxf5! Bxf5 25. Re7
White’s attack is very strong: Qb6 26.
Bxh6! Rhg8 27. hxg6+ Bxg6 28. Bxg7 Rxg7 29. Rxg7+ Kxg7 30. Re7+ Kf6 31. Re6+
Kg7 32. Qg5 +-)

24... Kxg6 25. Bf3 Rf8 26. Re7 Bd7 27. R1e6+ Bf6

White to move
I thought this position was kind of curious – both bishops are attacking my rooks, but they are both pinned! Since none of my rooks can be captured – I can simply continue attack against the king.

28. Qe2! (28.Bh5+ was apparently mating immediately Kxh5 29. Rg7 Bxg7 30. Qe2#) 28... Qd8 29. Bh5#  1-0