You can hunt coyoyes year round, no problem. Unfortunately if you want to use public land, WMA's then there is a problem. You can only hunt a WMA when something that has a season, is in season. Next hunting on WMA's will be turkey, then Spring squirrel I think. You can hunt coyotes on WMA during turkey season but....you must use a weapon specified for turkeys, IE shotgun or bow.
On private land you can hunt coyote whenever you like, no problem at all.