I second the hardware cloth idea for your coop. Do you free range or have a run? Is your coop secure and do you lock them up at night? Are you trying to keep predators out at night or during the day?
See my link under my name for "My Coop" to see the design of mine and the predator deterrent things I put in place to keep the predators out at night. My risk time is during the day (early morning and late evening especially) because I free range during the day (no fence, no run at all). My barn is about 1/4 mile from my house so the chickens are by themselves a good part of the time. I have 3 dogs that help run everything off that comes in the area but the dogs stay at the house a lot. One of the dogs is an Anatolian Shepherd and he is an excellent guard dog, loves paroling the woods. But again, he's not at the barn all the time. I also have a rooster that is pretty tough and does his best against predators but he's of course, no match for anything serious, like a coyote or fox.
Are you worried snakes will take your eggs or are you worried they'll eat your baby chicks? Snakes are nearly impossible to keep out of a coop. My neighbor had a snake eat 5 of 6 of his baby chicks. He was devastated.
Guppy