Don't just consider what looks good on paper, and statistics.
I have shot many a hundred coyotes.. In real life, and have learned a few things.
-Buy a heavy barrel. Period, no question, don't even consider a light barrel...why do you think they are called varmint barrels? The thing is, if two or three dogs came out at once, what are you gonna do? Shoot once and wait for 8minutes for the barrel to cool down to save your barrel? Heck no, you'd be pounding until they are dead or out of range. Trust me, several guys in our group bought light barrels... They are all burnt out now, you just cant shoot repeatedly with a light barrel.
-Is .223 the best? Not in my opinion, but it is decent. You want a gun that is really fast, really flat, and a bullet that isnt affected by wind so much. Remember, you aren't at a 25yard indoor range here. The faster you are, the less you have to lead, the flatter, less elevation adjustment. I choose 22-250 because its like a laser beam up to 400yards. The only problem is wind affects it a bit. The ultimate coyote gun in my mind is a 6mm, a bit large, but guys in our group with them can do unimaginable things as they have bit better range and less affected by wind.
-dont be scared of a wood stock, all my guns have ###y wood stocks, if you the kind of guy to lay your gun in the snow or bang it around, you might as well buy a 30-06 savage, because you arent gonna hit anything with it anyway, i treat my gun like a new born, one guy in our group dropped his gun in the snow and didnt clean the snow out of the end of his barrel, he shot and it swelled up the end of the barrel (good thing it was a varmint barrel) he cut off 2" off the 26" barrel and it was good again.
-Which bring me to the next point, buy a long barrel, only 26" in my books. If you want to capture accuracy and as much velocity as you can buy the longest barrel you can, listen to the ladies, size does matter!
My comments arent gospel, but i have been doing it for a lot of years, and I know what works and doesnt work for our group.
And buy a simple scope, dont be one of those orangutans out there with all these 4x25 x 60scopes with more knobs and switches then a woman in her wedding dress. I use a 4x9x40mm if i could i would just get a single power scope, but they dont really make them any more. I have seen so many guys miss and waste time just by fooling with settings on their scope. Set it at 4x or 5x and leave it there, that is good for a every animal from 20 yards to 600yards.