Many shelters have volunteers who help with these type of things. You need to contact the shelter when you see a dog you want to adopt. There are a lot of details & costs involved in adopting from another state though. You would need to find boarding & get vetting done. All transports require the animals have health certificates, it is law. Even rescues have times when they can't find transport right away & need to use boarding.
If you have a local rescue you can work with, it might be easier. And remember, there's always pets needing homes closer to you. Have you checked your local shelters? Good luck