Many shelters even out of your area would be willing to do a transport to a no-kill shelter. In New England where I live, thankfully there's not an overwhelming amount of puppies as there are in more southern states, so shelters here arrange transportation (persons willing to drive X amount of distance, and another driver will go from there etc.). The pups that otherwise would have been euthanised are found homes usually within a day of arrival up here. I wish I could say the same about kittens etc. Plenty everywhere it seems. Glad you found the baby, are you sure there's not more?