Man I feel for you, I know how it is. I get too attached to them. I had to put mine down, in the mid seventies, and I haven't had one since. I had to put my cat down a couple of years ago, and was not going to get anymore cats, but two strays showed up, and wouldn't leave, and one is very well mannered. The other is affectionate, but must have been abused. You can only pet her in certain places, other wise she scratches and bites. I don't mean nip either. She is lucky to be alive. She is either going on Craig's, list, or dogs and cats forever, when I finally move to Montana. Do try Craig's list, the want ads, etc. Can you keep the dogs outside? We used to have hunting hounds, and had a fenced in slab of concrete, with an elevated dog house, with stairs , and lounging platforms for them.
I know it gets cold out there, but you could heat it. And it would give you time to find good homes for them. Good luck, I wish the best to you and them, and your Daughter.
Wayne