So what's wrong with a mad doe? Alice enjoyed a mad hatter; a doe can't be any worse. grin

If I'm not mistaken, prey noises bring in bucks only by bringing in protective does that happen to have a following buck (in the rut).
Though last year I brought a young blacktail forky from 130 yards away to 30 (just right for a .45) by lightly and sparingly 'moaning' through my call. He thought he was gonna get lucky.

Don't fret overmuch about your lack of coyotes. If you sound like something, anything, in the throes of being torn apart, your calling is A-OK; the non-response is caused by something else.