What is the best move here? Computer is against the wall, but what next?

Another game against the computer...I'm playing black and it's my move, but I'm perplexed :/

h5 comes to mind. If

1...h5 2.fxe5? Qf2+ 3. Kh3 Qf3+ 4. Kh4 g4+! 5.Kxg4 Qf6#

The problem is that 2. Qxb7 looks stronger, in which case after  2...0-0 the rook would not be defending the H pawn and the previous mating pattern I gave above would not work (5...Qf6+ 6.Kxh5), and white could contemplate safely taking the e5knight. A very interesting position!

After 2. Qxb7 h4+, the position could get wild, but I have trouble seeing so far ahead. I calculated 3.Kg2 Nxe3+ 4.Bxe3 Qg4+ 5.Kf1 Qf3+ 6.Ke1 (6.Kg1? Qxd3+ just gains extra time for black) Qxh1+ 7.Kd2 Qxh2+ (not 7...Qxa1 8.Qxa8+ wins) and black may have a continuing attack

I like knight takes on e3, opening up checking possibilities

Thanks for the input, guys!  While I can't relay all of the individual moves to you, h5 proved to win the game for black after (as Nimzonick stated) some wild goose-chase action!