Congratulations, even when the shots don't hit its exciting and rewarding to see them come in.
Coyotes aren't a huge target. If you see a skinned or mangy one, there isn't much to them without hair. Add in the excitement of one charging you and everyone misses sometimes. Best advice I can give is keep the scope on it's lowest power unless the situation makes a long shot likely. Let them come in close, but don't pass shots you know you can make either. I've let them get to close and had to take a running shot as they left instead of a 100yd standing shot. If I get a good chance with time to get steady within 150 I'll usually take it personally.
I zero my coyote guns using Hornady's ballistic calculator. I see where they need to be at 100yds to hit a max height of 2.8", meaning the highest the bullet will rise before starting to drop is 2.8". I hold low on the chest, like heart shooting a deer, if I know the shot is less than 200yds. If I think its 200 out to 250 I hold center of chest. Past that it depends on what I'm shooting. I shoot a lot of coyotes out of the feed truck and don't have time to range them, this is what I found works for me to make shots fastest. Since I've been used to it for years I use it on all my rifles anymore. Knowing your actual velocity helps, factory ammo rarely shoots as fast as the box says it should, and reloading manuals often show velocities my handloads don't reach.
We have had rain off and on the last couple days, muddy as heck and not good calling conditions. I've been working on rifle loads. I had decided to go with the 90gr Nosler Accubond factory ammo in my 243 I use calling but now it's unavailable from the place I'd been buying it. I figured I'd use the time to work up handloads and shoot between showers. I got one shooting darn good with an 85gr Speer SPBT, the worst group it produced was 4 shots in .7". The others have all been under .5". The chronograph gave me a pleasant surprise also, at .5gr under the max load of H4350 it was averaging 3333fps from my 23" barrel. That's darn good speed, 300fps faster than the 90gr factory load and more accurate! The BC of the Speer is pretty darn good too at .404. Should be a great windy day coyote gun, just hope it doesn't put the hole in them that the 87gr V max shown above does. Getting good speed from a light deer bullet was always my goal with this rifle when I had it built, finally found it.
Tomorrow afternoon if we aren't busy with the mud I plan to pattern my 870 12 gauge with the 3 brands of #4 buck I bought. I thought my old turkey gun would make the perfect predator shotgun but it hit really high with everything I tried in it. I don't turkey hunt anymore so I figured I'd just as well make the gun good for something I do hunt. I bought a 20" Rem-Choke barrel for it with adjustable rifle sights on it, and a Carlson's choke tube made for coyotes. I figure I'll pattern all 3 buckshots on cardboard and adjust the sights to match whatever the best one is. Should work.
I'm getting practiced up and everything dialed in as much as possible. A friend asked me to hunt a tournament with him next month. He works at the parts store in the town he lives by, plus day works for the ranches so he has lots of great ground to hunt. He hasn't shot his rifle yet this year and doesn't know if he'll have time so I'm taking him one. I'll take the shotgun, DPMS Prairie Panther AR, custom 204 AR built for the 45gr Hornady SP bullets I like, and 243. What we use will depend on the spot. Real tight spots we'll have the shotgun and an AR, normal spots we'll have both AR's, and open country we'll have the 204 AR and 243. With the contest if we call in several in a spot I really want to have the chance to take multiple coyotes so I want an AR on all sets. Coyotes should all be paired up by then also so multiple are likely. Nothing I have beats the bigger bolt gun for long shots and a missed coyote or one hit and lost doesn't count. Bobcats count also so I want to have a small gun on all sets to not destroy one if we are lucky enough to get one in. I hope my new 243 load won't destroy a cat, but if I have the choice between the 204 and 243 I'd much rather shoot one with the little gun.