It's a bit worrisome that they haven't adopted out any cats. I was going to say don't worry about the conditions of the place since it is just temporary. But if they haven't adopted out ANY cats.......
I do hope they get the black and white guy to a vet.......soon. You've done all you can do, which is a lot more than most people would. You should be proud of yourself for how many cats you have helped through the years.