You might try the Sierra 65 gr. Gameking bullet, I use it on fox and large feral dogs. You need a 1 in 7 or 1 in 8 twist for this bullet, very accurate in my encore, Later.
I'm using Hornady TAP ammo(75gr TAP FPD)HPBT w/ a 0.395 BC. The gun is a Sabre Defence XR15A3 Heavy Bench Target rifle w/a 24" barrel 1:8 twist. Vel is 2700. This combo has proven very lethal on coyotes.
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If you want to stick with the .223 then look at the Federal premium loaded with the 60gr sierra gameking. your gonna have to fix anyholes in the pelt though. but for factory ammo it dont get anybetter then this.
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I have shot a few coyots with a solid 55gr from winchester, all it did was put a small hole in and out the sides with a lung shot, they all dropped like a bad habbit. I did have a few run but they ran under 100yards. shot were out to 400yards.
I prefer to use my .243 loaded with 80gr SP's when I'm deliberately targeting wolves. However I wouldn't feel under gunned with my .223. I would probably use 75gr Amax's or BTHP's. They are tougher than the v-max in my experience and would get into the vitals.