RE: It just wouldnt die!!!!
I have hunted yotes in western NY for a long time and have had my share of tough dogs but not too many.
I normally use a Savage model 11 .243 Winchester MAg with 95 grain teflon tipped remmington ammo. Knocks em down in thier tracks everytime unless I screwed up the shot.
If I am hunting a wooded area instead of a field I'll switch to a 12 gauge with number 2 or 0 shot sometimes 00. They run a little further then but not that far.
As far as tough dogs go I have one that sticks out in particular so much so that I got this one mounted (life size).
I was out deer hunting and kicked out 2 doe I ran around a little knole to get off a shot at one and heard them comming out of the brush. Instead of the deer out came a nice looking coyote. It was about 20 yards in front of me so I pulled up and shot. I was using a 12 gage loaded with federal 3" slugs. The dog never even flinched he just sped up.
I couldn't belive that I missed, but I walked over to see the trail in the snow and saw a small splatter of blood. The longer I followed the trail the heavier the blood trail got and I caught up with the dog in a swamp 150 yards from where I first shot him. He was dead when I walked up to him and I found that I hit him good. A slug through the front shoulder and exited the chest. I have shot deer with worse shots than that and they went down quicker.
I was pretty impressed with the strenght these animals have.