We've got tons of cats here. We've got a huge cougar population since the libs voted out hound hunting. This cat was taken about 10 miles from my house. The guy on the right got a special hound permit to kill one. I know both of these guys.
We kill a lot of yotes with whatever we have. The biggest problem is finding a bullet that works without blowing them up. Will you be hunting where you have to worry about bullet travel after you hit, or miss the coyote. If you are alone in the wide open spaces I would consider a FMJ bullet. With a 308 a FMJ will surly kill them, if you stay out of the guts, without making a huge exit hole.
I use a 243 with 75 gr. ballistic tips and often blow them up if I don't hit bone, but I like that the bullet stops after I hit something.
A friend uses a 6mm with soft points and usually does qwite well.
Try to put your tree stand in a tree with plenty of background cover, keep the prevailing winds for that time of the year to your face, and take care of those pesky squeaks and creaks your stand may have developed while sitting in the shed. A good treestand lube can be made by heating petroleum jelly until it reaches a liquid form. Some hunters have reported success by including a cover scent in this mixture before applying it to their stands.