I hunt coyotes in Sterling Forest NY. There I use my .22LR with CCI Stingers can't do that in NJ. I am thinking about gettung a .223 also for this purpose. A shotgun set up as if turkey hunting is good also.
I have an electronic call with a remote control. I set the call 30 yds from me.
The best results are found just after dark with a coyote howl. For that you obviously need a light on the gun.