Read the NY penal & environmental laws on shotgun possession. NY code is online.
Asking the state police is inadvisable - they're cops, not lawyers, and what you ask is (if illegal) likely an environmental law (different jurisdiction from state police).
IIRC (after much pouring over NY gun laws in great detail) shotgun possession is lawful so long as unloaded: get a sideshell carrier.
IANAL; talk to one.