In wooded areas it's a good idea to carry a rifle and a shotgun. #4 shot in the scattergun and 22,223,22 mag,22-250 or whatever the largest caliber rifle legal for coyote in your area.

Sure as you got the rifle, they come in close. When you got just a shotgun, they hangup out of range.

Hold the shotgun while calling, and if you see one hangup out of range, slowly pickup the rifle. A turkey choke will extend the range of your shotgun.