Coons, coyotes, and dogs will rip chicken wire to pieces. Hardware cloth will do it and is really your only option for screening since your run is so small that they can reach thru and tear them out thru the holes, a piece at a time. Man here saw 2 of them tag-team his 8 ft wide run and alternatively stampeded them from one side to the other. They dismembered three before he could get outside to run them off. And this was in the daytime to boot. He was buying hardware cloth that afternoon.