You should shoot what you have confidence in. More coyotes have been shot with a .223 than probably any caliber. However, with that said, I don't own one as I don't like the ballistics.
I also no longer shoot Vmax. They all shoot great groups for me, but have had too many splashes from .17 Rem up to 22-250. I like HP bullets. They open up but hold together a little longer than vmax. In my 22-250, I really like Berger 52 gr target HPs.