That is the method my neighbor uses and when I was 'chicken sitting' for them, a hawk was able to get in and killed on of their BR's. The good news is you know what your biggest problem is so now you just have to cover the run. Some kind of fencing or bird netting would be better. Problem solved!Do you need wire or netting completely over the run to avoid a hawk attack in the run or will wires stretched over the run every foot or so deter hawks since they won't be able to fly into the run? I forsee hawks as my biggest problem.