I think that map may be misleading. This was taken from the DEC website:
Available hunting lands include (links leave DEC's website):
Buttermilk Falls State Park (bowhunting and crossbow hunting only)
Robert H. Treman State Park (bowhunting and crossbow hunting only)
Hunters with legal access to private lands in the DMFA may also participate in the DMFA program.
There are no state forests or wildlife management areas within the DMFA.
http://www.dec.ny.gov/outdoor/82382.html
It may be worth a call to the local office in Cortland. I know the purpose of the trail was to connect Taughannok State Park to Cass Park, and it's generally pretty well-used by hikers.