Personally, I'd go with a 300 RUM, and that's only because the 50BMG is too expensive, by the time you're done paying for ammo you're behind the game with a 50, but the 300 is still cheap enough to be reasonable for coyote, and you don't have to worry too much about shot placement or penetration, if you happen to find any remains of your coyote you will notice that the fleshing has already been done! So you'll save yourself a ton of work! Hope this helps in your decision!
P.s. just kidding! I personally like a 223, ammo is cheap and they are fur friendly.
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