Use enough gun, and try to be objective about your results. When your hits result is flopping/flipping coyotes or coyotes getting back up, time to get a different caliber.
The OP asked about three calibers, 223,22/250, and 243. My choice would be a 243 with 60g Sierra hp(Varget or Win 760*3700-3800) or 80g Sierra Blitz bt(IMR 4064-3400 fps).
Concerning the 243, the 80g Sierra blitz with a hot load of IMR 4064 is amazing in how accurate it is, and gives the loudest WHOP sound I have ever heard coyotes being shot with....lots of shock put on the animal. Even if you do not leade a running coyote enough, hit him in the rear hip joint, his whole azz end will be shot off, and he will be laying right where he lands when he stops rolling to a stop.
Interesting reply's......
I am using a 17 Fur Ball (1:9) on light wind days or where wind is not a factor shooting out to 250 or so with 25 gr HP stuff at about 3750 or so. If the wind is up a bit I go to the 6MM BR (1:10) shooting 75 gr V-Max at between 31 to 3200 fps. Just added a 22 PPC (1:12) for the wife (and me) shooting 50 gr Combined Technology molly at about 3500.
All of these produce DRT if we hold our shots right.
We are shooting with a lot of deep woods around fields so shots are usually 250 and in. All these loads perform quite well at these ranges. I know the BR can stretch out and sometimes I wish I had a faster twist barrel so I could shoot the heavier bullets but when those situations arise I go to the 6.5 Creedmoor or the .270. They can get the job done. It can be messy....... This is with the 270.... 140 gr BTSP Hornady at about 120 yds.
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I really think one needs to decide on what their shooting requirements are based on cover and distance and then build or buy a rifle/scope to match those needs.
That being said.... 223 for shooting inside 300 with the right loads and saving fur..... and 243 if you have no worries about fur (I done save it) and just want to put them on the ground DRT at any range. Bullet selection is critical with either based on your desired outcome.
Just my thoughts
__________________
Single shot shooters only shoot once.....
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Bruce A. Hering
Program Coordinator/Lead Instructor (retired)
Shotgun Team Coach
Southeastern Illinois College
SCTP Collegiate Coaches Chairman
NSCA Level III
It makes a BIG difference if your saving fur or just out to kill coyotes.
Also how close are your shots ? Are you calling them in or shooting them at long range?
Hal
i got a 22-250 AI shooting 60gr varmint bergers... Drops em every time. Coyotes arent that tough to kill. A 6BR would be plenty too. Dont over complicate it. No since in a 24e when you can shoot a 6BR. We used to do coyote competitions a lot ever year. my whole team shot 22-250s.
if you want something different yet supurb, go 22BR
Sniper, Is your 250AI a single shot or repeater? I am curious if the 40 deg shoulder causes any problems in feeding
repeater. feeds from an AI mag
Sniper Do you know if the 250AI would feed from a standard BDL follower or would I need an AI mag set up?.
Mark, I can't believe you are not going to build a light carry rifle in your signature 6 BRX!!!
What is this world coming to!!!!
You can't go wrong with a 22-250 shooting yotes. Lots of good calibers to get the job done, but the 250 is somewhere near the top. Les often carries a shotgun with also for close ups.I recently stumbled upon Les Johnson ( youtube) Predator Quest. National Coyote Calling Champion.. Les uses a Thompson Center Predator in 22-250 / with Hornady 52 BTHP..
He has some really God instructional g entertaining videos. My opinion.
Granted I've never pulled a trigger on a yote..