SAd you have to find home for your dogs.......We also live rurally. But our dogs are only in our yard when we are home. Ours are inside or in their kennel run when we are inside or not home. We also have problems with dogs chasing our stock. So we are on both sides. We have had a horse put through a fence by a dog that came from a Hobby Farm. And we had two calves killed.
It is difficult.......Stock run and dogs get exited and go into prey drive. Some more then other breeds. We have newfoundlands and they just do not seem interested. But I have heard that even one of those was once in a pack chasing sheep. Our dogs are used to stock, but I would never leave them where they possibly could chase stock. I love GSD's, but I would never have one where we live now. Because if ever one got out by mistake, even if not chasing anything. Our neighbours would shoot. Whilst with the newf's, they pick them up and bring them home. As happened ten years ago.
But I still do not trust any of my dogs to stay within our house fences, which are also electric and dog proof, whilst we are not around. It is six foot covered cyclone mesh or the house.
I hope you are able to find a loving caring home for your girls