I wouldn’t be as concerned on the barrel length as much as I would consider the twist rate. In an AR, I would go .223 as they are fun to shoot. You’ll go through a lot of ammo when plinking tragets.
But for shooting accuracy, you can get them barreled in 1:7 to 1:14 twist rates. So knowing the approx gr bullet you’ll be shooting is key to matching that up. Most common bulk ammo (assuming your not reloading) will be 55gr followed by 62gr. You can get 35gr to 90gr bullets for this rifle.
The 1:12 is a common twist and is great in that caliber for the 40 to 55 gr bullets.
the 1:9 or 1:10 is best suited for the 62 gr, but you loose the ability to maintain good accuracy with the lighter stuff, such as 35-40 gr bullets.
The 1:7 is needed for the heaviest bullets in the 70 to 90 gr.
Naturally the other end of the scale is the 1:14 which handles the light stuff like the 35gr varmint grenades.
My suggestion is a 1:12 twist with the 50 to 55 gr bullets. Heavy enough to handle 300yrd shots, plenty of velocity and punch, ans won’t do too much damage to a coyote pelt with good bullet placement.
I load for a couple friends, and between the couple different AR’s they have, loading is pretty consistent. All the recipes are 50 to 55 gr Sierra or Hornady V-Max bullets, Varget powder in the 26.6 to 27.9grns, and the chronograph is showing us 2979 to 3240 fps. I had a load with a 45 gr Sierra bullet and Varget that was producing almost 3600 fps, but we couldn’t get it to group any tighter than 1-3/4″ at 200yrds.
Hope this helps