Wild chick, you sound just like us! So many ways. Hang in there! I agree, better sad than dead. What can you do about the cat?
We eventually got Maremmas. Life Stock Guardian dogs. But it is not ideal either. They are not bonded to the flock as hard as I tried and, like you said, they help by being around but we had one bird taken while they were sleeping under the house in the summer - ugh! And the bark their heads off at night so I can't sleep so I started locking them up at night. We, too, built an expensive fence to have the dogs contained (and the wildlife get over easily). We even have the same size fence, ha ha. We also had no problems for the first 5 years and our coop/run is also not built for 24/7 occupancy but mostly for safe sleeping. I am trying to expand it but it is hard going.