I don't know about the rest of the state but Central NY is not exactly infested with doves either. I'm not sure it would be worth your time even if there was a season, at least in this area.
Still happily answering to the call-sign Peetza.
The problem, as you so eloquently put it, is choice.
He is no fool who gives what he can not keep to gain what he can not lose.
-Jim Eliott, paraphrasing Philip Henry.