We moved here a few years ago. Barn faces west. On the back side (east facing) there was a dog run the entire length: 50’x10’, but 5 ft chain link on one half and 3 fat on the other. We built the coop within the run and elevated it 2.5’. The coop is pretty secure, the fence could be breached, especially in the short side. We did build a roof over it all eventually. Chain link can work. But a roof is nice for shade snd weather protection. To keep the birds in, we purchased heavy duty plastic deer fence, and it works. We plan to replace the chain link with 1x2 welded wire, which we finally sourced in Jan. We looked for over a year, and were on a waiting list for it too at one place. We paid about 60% more than pre-Covid when we bought some for a different project.
Many people use chain link. It needs a cover though (rain/shade), won’t keep out rodents. But very common, and it is likely something you can find used and hopefully in good condition.