This seems pretty straightforward. Only problem I see is that you bought Tournaments with $5+ on turns 8 and 12 when you already had 3 Tournaments. At this point you probably want to be getting Apprentices or Stables to help you draw all your stuff together. Other than that, pretty straightforward. You were a little luckier, but Apprentice first over Stables was a better choice, so you probably deserved to win.
Regarding Venture/Tunnel, I don't think that's ever fast enough. It's one of those things that sounds good when you first think of it, but doesn't really make any sense if you think a little more. You don't discard that many cards with Venture, and even when you do get Golds from Tunnel, you run into the problem that if the Tunnels you draw in your hand were Silver, you'd have $2 more, and if the ones your discarded were Silver (which occur less frequently than the ones in hand), you probably wouldn't lose more than $1 of buying power anyway.