Hunt them a lill every one you can. You will not wipe them out because they will respond to being pressured by having more pups but they may move elsewhere. There shouldn't even be coyotes in NY state, just like they should not be in my state, PA. The coyotes you and we have have wolf blood in them and are bigger than the standard coyote. I can attest to attacks on people in PA. If you have that many singing, their choir needs to be made smaller.