idahostalker, I've shot my share of coyotes with a .204, but I've always used handloads with 35 and 40 berger bullets, both of which work great. A few more pass throughs with the 40 gr. bergers, but most don't really ripp'em up. As far as factory ammo., unfortunately, IMO, there's not really a good bullet choice for coyotes since all of the factory ammo. use ballistic tipped bullets in 32, 39, and 40 gr. The BT bullets are designed for rapid expansion, which tend to not penetrate sometimes when they hit shoulder bone. BUT, since you're going to use facotry ammo., I'd suggest using the one that you find most accurate out of your .204 and aim to hit behind the shoulder, lungs, and go from there.
The 39 blitz king bullets seem to be the most highly recommended in the most accurate bullet department for the .204. A lot of people struggle to get the 40 gr. V-max bullets to shoot accurately. The 32's seem to get high marks in accuracy, BUT since you'll be shooting coyotes, I'd opt for the 39 gr. bullet, for just a little more punch.
There is also a 45 gr. soft point that you can find in factory ammo., but I have heard very few reports on accuracy and performance for that bullet.