I found a website for Lab Rescue of North Carolina, and on the home page it says they are very overwhelmed with the number of labs to be rescued, they can't take them all in. I understand there may be other rescues as well, but it seems odd that if so many labs are needing rescue, that the lab rescue would find a place for yorkies. JMO. Maybe you could try calling someone from this rescue and asking if they know of other rescues in NC? Or if they know those names at least?
Lab Rescue of North Carolina