Ok bout have my coop built. Planning on having run coming off one side of the coop for now. Since blowing initial budget on going over the top on the coop, looking to go economy for the initial run. I already have a bunch of 6' T posts. Curious about running chain link with 3'-4' high chicken wire along the bottom of the chain link. Of course planning on 2' hardware wire around the base for anti digging. Would this be sufficient against cats, coons, fox, coyotes etc? Also what would be a sufficient top covering for said run? Thanks!