Trial and error or simply going off of recommendations of local basenji owners is the way to go if there's no list.
The vet I switched to a year ago was the best decision I made. She knows Basenjis… first thing she did was sat down to be eye level with Kananga to make him feel a bit more comfortable. She was a bit impressed how well he did when she was inspecting his teeth. I guess other Basenjis she's worked with tend to hate having their face touched, I tend to do this a lot with Kananga so he gets used to it, and I guess that has helped. We talked about Fanconi DNA testing, general behavior, diet, etc. It's really beneficial to work with a vet that knows the breed. It'll help avoid miscommunication and be more proactive about preventing things that might be common with the breed.
It also helps when they understand how a Basenji behaves.