Not sure how to respond and not try to sound arrogant. I started hunting yotes around 1979 for "sport" then later did allot for $. Probably have taken 600 or so, with 95% in traps/snares. I would bet I missed an opportunity on 3x's that many.
I started out with a very accurate .243, then went to bull barrel 25.06, then to rem 22-250 and back to the 25.06. I prefer a 100grain or so, fast bullet that will get it done. Hunted during the daytime and at night. I was fortunate to have a gentleman back when I was young that retired from the USD as a Federal "troubleshooter" trapper teach me allot, also was fortunate to rent out a small farm house to a smart Texas state trapper who also taught me a few tricks, he was also one of the best mouth callers I have ever seen. I have an M$ Colt and wold have no issue shooting a yote with it, but I'd personally rather be "gunned" enough for most any situation. I can't control the wind and weather, but I can control what I take to the field.
Built my own caller for about $50 with "stuff" from radio shack in the early 80's, still have it in a bag somewhere. Electronic calls work, but IMO get very overused by the "weekend warrior", so you end up with smarter yotes. Mouth calls are harder to use (need some lung) but you can add sound deflection that an electric caller can't. If I had trouble with and electric caller, or missed an opportunity on a dog with it, I never used it in the same spot with-in a year or two, I would return with a couple mouth calls. If I did take a yote with the EC, then I had no problem going back in a month or so and using it again.
Few things to remember IMO
Don't do it if you aren't serious, yotes are smarter than most any thing with legs when it comes to survival, they know every stick in their territory, educate them and they have a PhD. and will be all the smarter and much tougher to eliminate. That is the reason traps where so important for me, landowners would harass them with calls or otherwise and the dogs where **** smart.
Learn to use a cottontail mouth call properly, both a baby and adult call. Cottontails are normal anywhere in the country. Use it for fox, bobcats too. If you have jackrabbits, those calls also work. Woodpecker calls work better for cats. A squeaky door will nearly call in a grey fox, they are easy. Main thing about mouth calls that I did wrong early on and most also do incorrectly, is sound deflections. You have to put personality, pain, anguish, fear, lost in the call. Good duck callers know exactly what I'm talking about.
Park and walk as far as you can, if the wind is wrong, hunt another day, when the wind is right, expect the yote to come from down wind or close to it, especially an older dog. youngsters are usually what most folks kill since they don't yet have the skills of an old yote. You can not eliminate your odor from a yote, "aint gunna happen". Helps to have an idea where they spend their daytime and set up in sound range down wind.
10-20 minutes a set for yote, 30+ for cats.
Start the call at as low a volume as you can and still sound good, then build for range, they will have you pegged (the call location) almost the instant they hear it. There are calls for low and high volume, C3 was mentioned already and that is a great call. Yotes have killed enough animals, they know what doesn't sound right.
If you think you can't make the shot, don't even try (if your serious about end results) Trust your equipment and know your personal abilities, some shots will be marginal, say a running yote at 3-400 yards. But if you have already missed, you have nothing to loose at that point, that dog wont fall for that again.
Don't always hunt the same spot on the same property if you can avoid it.
Want a real challenge? get into proper trapping, try getting one to put his foot on a 2"x2" square in the middle of a 1,000 acres!
Coyotes serve a vital ecological purpose and most often get blamed for stuff they had nothing to do with, they usually kill for need, where as domestic dogs kill for "sport". I like having them around to a point , they are part of our history and will be here long after I'm gone. I let 2 young pups (3-4 months) walk this year behind the house, they where after a dead coon I took of my deer feeder. Maybe I am getting soft, or just don't hate them as much anymore, they looked at me with that "Oh sh^T" stare with a mouth full of coon, I just put the rifle down.
Quick funny story; In 2001 while living in Colorado, my brother came up to go yote hunting with me. His right leg was in a cast to the thigh (broke leg), so we where limited where we could go. Finally got to a spot that was easy to get him and gave him my rifle, I had my 12 gauge. I used my home built call, set up and started. Within 10 seconds, 2 yotes appeared from the Pinons about 700 yards away, they came at a dead run. I told my brother to hold, since they would likely stop and look, **** no, they came full throttle and disappeared below us in a gully (we where sitting in the pinons on top of the gully) Before we knew what was happening, both yote come over the top! one even jumped my brothers extended leg with the cast! All 4 of use freaked, they got away and my brother kept saying (he doesn't cuss) That was cool as s#it!"

I swear on my mother this is true.
Sorry for hijacking your thread