There are quite a few reputable breeders in TX, but unlike, say, Washington State with the Evergreen Basenji Club, there is no such list—not even an out-of-date one. The best thing to do would be to the join the Dallas-Fort Worth Texas Basenji Club (which really serves all of TX) on Facebook. Join, but don’t post for a little while. If you can wait two weeks to post your “interested in a basenji puppy; anyone know of breeders taking reservations for next year’s litters?” all the better.
Make sure you post your question like that, too. Posting “Where can I get a basenji puppy?” comes off as demanding. Asking about breeders taking future reservations / getting on a wait list means that you’re familiar with the process and not ready to settle for whatever backyard breeder you can scrounge up. Basenji people know that this breed requires a particular sort of person, and if you don’t demonstrate that you could be that sort of person, they will sometimes clam up.
All of that being said, when we moved to Dallas with one B and wanted to get another, I first managed to find Pat Marshall, who wasn’t planning a litter that year and then referred me to Signet Kennels (Brenda Cassell), who was. We started the process in October or November, got lucky as she was co-breeding like three litters that year, and brought home our new puppy in April. Linda Stilwell, who admins the Facebook group, and especially Pat Marshall (about an hour NW from Houston) both seem to be really plugged into the B breeding community and knowing who is planning litters where. I found their email/phone numbers by Googling, but you could probably message them on FB if you prefer.
A couple of final recommendations: there is a huge dog show this coming F, Sat, & Sun in Dallas. There are usually 10+ Bs and at least a few breeders. No idea what your situation is or if you’d even want to come to Dallas, but a dog show can be a really great environment to get to know the breed. Also, the FB group has lots of good breed information that is very worth reading.
Feel free to reach out if you have any more questions, and good luck in your search for the perfect pup!