Since there are no weapons restrictions on coyote in Indiana, you can use whatever you have or whatever you feel like carrying that day. Are you concerned with minimizing damage to the pelt? Then maybe a .223 or even a .17 cal. Personally, I like carrying my .243 for coyote. I should add that I am still trying to get my first coyote, so "carrying" the rifle is about all I've done with it to this point!