Hello, I know just what your daughter is going through! I went through an Asperger's website http://www.aspergersyndrome.org/Local.aspx. This is a local search.
I found a private doctor whose wait time was much less than Children's Hospital. But, here's the thing - depending on the insurance sometimes the private doctors have a harder time getting your insurance to cover it.
Because of that I ended up waiting on Children's and it just so happened that the process only took half as long as expected 3 months instead of 6. Probably just luck but something to consider.
I hope this helps! Hang in there!