I used to have a Remington VSF in .223 (bolt-action) that I used for varmint (coyote) hunting. After a few seasons I decided that I needed a semi-auto due to the advantage of quicker follow-up shots if needed, and although seldom, shots at multiple moving targets.
So, my first (and only) consideration was something in an AR style since I'm very familiar with the manual of arms and maintenance of that particular weapon system. But I didn't want an all-black 'military looking' rifle and I didn't want a carbine length (16" barrel).
This was around the mid-2000's right around the time that ARs were starting to be referred to as an 'MSR' (Modern Sporting Rifle).
After researching what companies like RRA, Bushmaster, Armalite, DPMS, etc., had to offer I ended up buying a Remington R15 VTR Predator rifle in .223 (which was actually made for Remington by Bushmaster). It was one of the few ARs at that time that was offered with a factory camo job. I still use it, and it's been a great, perfectly operating, very accurate rifle. Unfortunately, it's been discontinued but can still be found on websites like Gun Broker.
I did a few 'upgrades'. The stock trigger was replaced with a Timney 3.5# Skeletonized Single-Stage cassette style. And for personal preference I replaced the stock, pistol grip, and trigger guard. Topped it off with a Nikon M223 scope on the M223 one-piece mount.
Without being nit-picky I really can't think of any 'Cons' that would cause me to shy away from or using a semi-auto or AR style rifle for varmint/coyote hunting, just as long as the person operating it knows what he/she is doing.