If insurance covered your other testing related to Autism is very likely you can get a Neuropsych eval covered as well (we went that route and were successful.) As for what tests - that kind of depends on which Dr you go to, but the Weschler tests are pretty much standard (WISC & WIAT).
I would personally recommend starting with your insurance company. There are few neuropsychs to start with, and if you are luck you might have more than one within a 50mile radius to choose between. We had only one in our county that took our insurance, so that's who we went to see.
Neuropsychologists all go through so much training and education to get that title I think it's pretty unlikely to get a "bad" one.
