Hmmm deadeye may actually work, didn't try it. I simply lined up for when they make thier second pass. They always circle a little, so I threw the TNT short, between us as it circled around. Then as it charged I moved so the TNT was lined up between us so the couger has to pass over it. Although this is all taking place in like a 3-4 second window, but it worked. You just have to line it up so as it runs at you it runs over the tnt. plus some dumb luck helped, blew myself up like 6 times first... suicide bomber approach.
I got tons of them attacking me when I was in the Great Plains area earlier. IT was really weird. They were all over the place. At one point I sat at Beecher's Hope and watched a parade of them walking down the road. They just spawned non-stop along with some raccoons.