If you aren't quite sure where you want to go - it is a bit more difficult for folks to suggest routes to take to get there.
One way you can explore the possibilities is to browse a site like
crazyguyonabike.com: Bicycle Touring: A place for bicycle tourists and their journals and see where others have gone. For example, a quick browse brought up this traveler:
https://www.crazyguyonabike.com/dire...nethercott&v=K who documented two overnight rides and a week long ride he did from Dallas. I am sure there are others.