I am going to voice what is an unpopular position here.
First, you said this is a "run", right? Not an overnight home, but an enclosure for daytime grazing, right? My thoughts are that a run that will not be used for nighttime protection doesn't need to be built to the same security standard as the coop. If you have solid walls with secure screens for nighttime, unless you're facing heavy pressure from dogs, I can't see why chicken wire wouldn't suffice in a daytime run.
Personally, I feel that most of the disasters we read about here are not failure of the chicken wire, but failure of the fastening system. I built my run with 2 x 4s with the wide face parallel with the wire. The wire is stapled to the 2 x 4, then a 1 x 4 sandwiches the wire on top and is nailed securely to the 2 x 4. Relying on staples alone is a bad idea.
First, you said this is a "run", right? Not an overnight home, but an enclosure for daytime grazing, right? My thoughts are that a run that will not be used for nighttime protection doesn't need to be built to the same security standard as the coop. If you have solid walls with secure screens for nighttime, unless you're facing heavy pressure from dogs, I can't see why chicken wire wouldn't suffice in a daytime run.
Personally, I feel that most of the disasters we read about here are not failure of the chicken wire, but failure of the fastening system. I built my run with 2 x 4s with the wide face parallel with the wire. The wire is stapled to the 2 x 4, then a 1 x 4 sandwiches the wire on top and is nailed securely to the 2 x 4. Relying on staples alone is a bad idea.