Is there anywhere I can go rock climbing in Hyde Park?

The only place where I know you can go rock climbing in this area is the YMCA in neighboring Poughkeepsie (indoors, obviously). Aside from that, most of the better opportunities to climb are on the other side of the river near New Paltz (Shawangunk Mountains) or the Catskills past Kingston. Hyde Park isn't terribly hilly so there's not much to climb.