We went with a 'trainee' psychologist for our testing because it was all we could afford ($1500 was the discounted price!), but all the work was reviewed by the head of the practice and he was at the meeting where they gave us the findings.

See if you can find out who will be doing the testing and making the diagnosis, before assuming it won't be someone experienced. We've had a lot of experience with medical trainees over the years and often find them more open to possibilities than more experienced professionals who may have become set in their ways, and may not be up to date with the most recent research.