After a couple of months of trying, I finally managed to call in a coyote.
It goes like this:
I am driving up to my new Favorite Bear Honey Hole (story later), I stop to relieve the intense pressure in my bladder. As I am going about my business, I am scanning the ground around me as I am writing my name, address, children's names and anything else that come to mind. Damn, I really had to go..... Any way, I notice that there is relatively fresh scat on the edge of this road. I scanned the hillsides and say that there was an old abandoned skid road about 200 yards ahead of me. Just for fun, I took out my old Wayne Carlton mouth call and blew for a few minutes. I jumped in my truck and was going to drive to the skid road and hike in. As I started to roll forward, I see a coyote making a beeline for my current location, but when he sees the truck, he turns and runs up the old skid road I was heading to. I parked the truck in the brush on the side of the road and get out and walk up to the skid road, knowing by now he is long gone.
I kneel down amidst the garbage left from years of target shooters and Begin to blow a series of calls. Withing a minute or less, the dog is running full speed right back to me. He stops at about 100 yards and looks around, and I hit the mouth call again and he is charging right to me. At 50-60 yards he stops and looks all around. By now, I have a bead on him and am waiting for him to turn. He does. Perfect broadside, and totally still, trying to figure where his dinner is. The 300wsm bellows out and fur flies! but the dog is running full steam away from me...............

In the excitement of calling my first dog, I forgot that my rifle is zeroed at 200. Fine for larger bodied animals, but on smaller ones, not so much good.
I was holding dead on and shaved the hair right off his back........

I walked all around the area and tracked and called for another hour or so, but his tracks were digging into the mud and at a dead run. He is probably still running. No blood at all, but where he spun and rain there was a nice little tuft of hair that I am sure was shaved off his back.
I AM TOTALLY HOOKED! There is nothing to describe the feeling of fooling an animal like that and have them charging towards you. Especially when he knew I was there since he saw my truck the first time and he ran off.
I cannot wait to get out and do that again!