I don't know if there is a best series of calls. I can offer some suggestions and you can experiment to see what works for you and on your coyotes. Depending on the circumstances, I'll start with a couple of long or "lonesome" howls. You can do that on your Hotdog call. This will do two things...it can be a confidence call putting coyotes at ease and it can stimulate a territorial response in a local pair of coyotes. It can unfortunately do a third thing. If the cover is tight or the wind is blowing and you get close to coyotes without them hearing you, it can scare the crap out of them. (Ask me how I know....) So, if you think you could be in the third situation, start with some soft distress on your Ki Yi. A simple "Waaaa, Waaaa, Waaa" will do it. In senario number three, do that for a couple of minutes and then go to your howls if nothing shows.
If you get a response to your howls, the best advice is to throw whatever they say back at them. If not, start your distress. You can start medium and go loud then reduce the volumn as the coyotes have a chance to get closer to you. If you become convinced that nothing is responding to your distress, you might use the hurt pup sounds that got your neighbor stirred up. Then go back to distress to finish the stand.
That'll get you started. But, keep in mind that there are a lot of things more important than sounds to have a successful stand. Go in quiet---no door slamming, talking, etc. Set up where you will have reasonable chance to see the approaching coyote (and where coyotes live). Make the coyote expose himself if he wants to smell you. And, be patient and persistent. The learning curve is steep. You might spend a few hours over on the Predator Masters site reading some old posts. A couple of videos would help you get a feel for sounds. Randy Anderson's Mastering the Art is a good one. You may have gotten it with your calls.
Good luck. Take pictures of the trophies!
Tim
No Off Season
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