We too live in a rural area. We have a couple acres and I have seen raccoons, foxes, coyotes, fishers, bears, bobcats, hawks, eagles, osprey and so on. We decided that we are likely to lose chickens here and there and have come to accept it. We have anywhere from 12-20 layers and no roosters. We do have a couple hens that seem to watch the skies for any aerial predators. We also have plenty of cover on our property and our our girls don’t spend much time out in the open but rather scratching around in the woods and in and out of the shrubs. We also have a male dog that likes to pee on everything around our coops/house which I think is a deterrent to some of the ground predators, primarily foxes and coyotes. I have picked a couple raccoons off that were on our compost pile during daylight hours as well.
We have an automatic door on the coop that opens at sunrise and closes at dusk whether we are home or not they are free ranging as they please. The chickens get very upset if we have them locked up and we prefer to have them out and about.