A .308 is likely to blow the whole back half of the coyote away when you shoot them or similar bloody mess. Its good if you want the coyote taken care as a pest though if you intend to take the hide for leathercraft and so on, you be much better off with a .223 or 22-250 and still be accurate at the 200 yards you requested and with more and enough power to eliminate the coyote.
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