.223 would be the right choice. The .243 is in most cases a fur destroyer. I have seen it fur friendly with certain loads but for yotes out to 400yds the .223 or .22-250 is tops. The .17s and .204 are not all they are cracked up to be either.
Destructive disease spreading livestock and pet harassing buggers.Why do you want to shoot the coyotes? They are around my house, I can hear them at night in the summer when the door is open. Not a destructive pest like prairie dogs or groundhogs, just curious....
SOS? I don't follow.....Coyotes fall into the realm of SOS.