Joined: Aug 2008
Posts: 13,140
Likes: 2,162
From: Ann Arbor, MI
Bikes: 15 Kinesis Racelight 4S, 76 Motebecane Gran Jubilée, 17 Dedacciai Gladiatore2, 12 Breezer Venturi, 09 Dahon Mariner, 12 Mercier Nano, 95 DeKerf Team SL, 19 Tern Rally, 21 Breezer Doppler Cafe+, 19 T-Lab X3, 91 Serotta CII, 23 3T Strada
I'm confused when you say 'slide up to the drops'... do you mean the hoods? I'd expect that if you were actually slipping forward, you'd feel like you were doing so regardless of hand position. Do you feel like you're bracing yourself to prevent that?
If so, then yeah, tip the saddle back a bit, but if no, address what you already indicated was a bike to big for you by replacing the stem with a shorter unit. It's easy and quite cheap to do this.