Woah - me thinks he dost protest too much. Hit a nerve there, didn't I. While you are right that sledders have, in fact, spoiled quite a few set ups over the years, I was not so much dissing sledders as I was trying to make you see your sled as a bad tool for calling coyotes.
Well, my real point is
If you think coyotes don't know sleds are to be avoided, you are very inexperienced indeed.
If you want to walk over a mile in thigh deep snow to hunt coyotes be my guest,
Oooooo..... a whole mile? Wow! I bet I would never get that far from my truck ....... unless I used my snow shoes. Put them on; go for a walk - a quiet, stealthy, hunting walk. Have you ever tried that for a "tool" you could use?
How many guys on foot are carrying guns so they can shoot every coyote they see? A: every single time a person is back there on foot it is for this reason
How many guys on foot deliberately stalk, harass, shoot at, every coyote they see? A: every single person who goes back there on foot
I don't even know what your point is with this. So hunters on foot are often hunting? That is a bad thing?
How many guys use their feet to get into areas so they can hunt coyotes: Do I need to answer that?
Obviously you can't answer that, so I will do it for you: Good coyote hunters, that's who.
They will follow you around weather you are on a quad or on foot, horseback, doesnt matter.
Then turn around and shoot them!
What on earth are you talking about? Really?!? They follow you around, and you need advice about how to hunt them? Really?
I filled all my tags this year, in one weekend, did you?
Did you get out of the truck for that?
Look, go ride your stuff around all you want. I will stick with my original thought that riding sleds is not a very good way to set up to call coyotes because coyotes are not as stupid as you seem to think they are, and they do understand that the noise means trouble for them. Who knows, if you try long enough you may actually get the odd one. Go for it. But your sled is a hindrance to your calling success unless you get far enough away from it that the animals don't associate you with the sound. That will be "quite a distance" for you (using what you have posted here as a sign of how far you have ever walked). Get some snowshoes.
Maybe you need to be a bit less defensive about sledding ( ask yourself what you are doing that makes you so defensive) and think more about hunting than about riding around with a big motor between your legs. And here is the real advice from an old hunter: hunting is an absolutely marvelous activity. Sledding is a lot of fun too. But I think, if you really tried hunting, you would enjoy it.