When I was in college all of the grad students in psych needed to actually do testing as part of their course requirements. Since all psych students had to volunteer as test subjects, I had fun taking a bunch of tests. I would look for a school that offers graduate programs in educational psychology or early childhood development. I'm not sure if all schools have ed psych under psych.
One possible carrot to offer is that your kid is likely at an extreme they wouldn't often see.
I would look to speak to the departmental secretary first as they are often a well-spring of information. They may either have an answer or get you to the right person.
