I shoot two of the five you listed, the .204 Ruger is a great little round for coyote but in my opinion not at the ranges you are looking for. 200 yards and in you would be fine. I am sure someone will come along and say they kill coyotes at 300, 400, 500 yards all the time. Maybe so but in my opinion it isn't a great choice past 250ish.
The .224 Valkyrie will certainly kill at all the ranges you mention and then some. Though harder on fur, which may or may not matter to you.
I believe all of your listed choices will work within reason of yardage. the .204 Ruger being the best choices if keeping hides is your goal. If just flat out killing them then maybe the 6ARC would be high on positive features.
Have you taken into consideration the current ammo, reloading supplies situation? This could be a show stopper.
