The inherent accuracy of the rifle will be based on the proper ammunition choice for the barrel twist. For Coyote hunting, the question is varmint control or for hides? Any accurate round will function for control, but a FMJ will not damage a hide as much as most other rounds. Again, the accuracy of a .223Rem round vs. a 5.56mm Nato round will be in the proper alignment of bullet weight and barrel twist.
1/9 - Use bullet weights up to 62gr.
1/8 - Use Bullet weights of 55gr. up to 72gr.
1/7 - Use bullet weights of 62gr. and up to 77gr and primarily 77gr.
Remember, this is a listing of generalities. Alway try different bullet weights and designs and find which works better for your needs. There are many variable that can affect the desired results. I hope this helps.