We had feared that putting up the netting would be sort of a "grandpa and the christmas lights" kind of chaotic stupidity scenario, but instead it went rather smoothly. The whole run is now covered with used fish netting that I bought on Ebay for a very reasonable price. It is black and seems quite durable.
I'll post pictures in a day or two. It is getting dark and the netting hasn't been trimmed on the edges yet, so I think waiting a little bit is a good idea.