I grew up on the prairies of Eastern CO. That is a long way from NY, but if you don't mind traveling then you could get into some good coyote shooting in that area during Feb and Mar. A lot of the ranchers out that way have their cows bred to drop calves in Mar. Since coyotes can and do cause a lot of trouble on the calving ground it is pretty easy to get permission to shoot them during this time on order to thin them out.

My suggestion, if that interests you, is to contact the Farm Bureaus of CO, NE, KS, SD, ND etc... and let them know what you want to do. They very well could know some ranchers that want to get the song dogs thinned down. The respective Game Departments may know as well.