You're really making headway! Looking good!
I live in a heavily wooded area in the Sierra foothills of Northern California. We have all kinds of predators, too. I find that my situation is similar. Hawks are my only real daytime problem. Foxes, raccoon, skunks, and coyote are mostly active at nighttime. We have bear and mountain lions, too - and we even have a wolf who passes through. There's not much I can do to stop those. Especially mountain lions.
I let mine out during the day in an area surrounded by electric poultry netting. That stuff is great! And it's easy to move. I cover that with heavy duty bird netting. I highly recommend the electric netting. I use it around my goats (who we keep primarily as brushers). Move them all over the property to eat blackberry and poison oak.
I love my electric netting too.