Yes- now you are on the right track. Well, I'm not sure how this happened since I was desparate for a second opinion at the time (I guess for my own piece of mind). I applied with the child psychiatric department of a teaching hospital for an MDE. There is a lot of paperwork- release forms, history, etc., so it takes months. I didn't care how it got paid for at the time- I just sent the paperwork in. Finally, we had the MDE and I was never billed and never rec'd anything from the insurance company.
Now, it would probably be useful to get what ever testing you can have done by this neuropsychologist. I don't know if MDE teams do it themselves or already expect it to be done- difficult child's had been done a year earlier and his questionable diagnosis's weren't so much tesst related. The test results have helped more with school issues. That will all depend on your difficult child's specific issues, but I don't think they are ever a waste of time.