Quercus, lvoss, and others are right on target with their advice and I agree with them completely.
And FTR there are a BUNCH of breeders in your area…I can't believe none of them directed you to BRAT if they didn't have any dogs available fitting your interest.
Quercus is right, Ohio has quite a few responsible, ethical breeders and any of them will refer to other breeders if they have nothing available. I'm not sure how you missed them Dash. I just Googled Basenji Breeder Ohio and most of them came up on the first 2 pages. But no, none of them will have puppies available at all times. No responsible breeder would. Sometimes there will be a wait to get a puppy from a responsible breeder but its well worth it.
I do wish you the best with your puppy. It is obvious it is well loved and will be well cared for. 🙂