Monaki, I knew someone with Asperger's and he said the one thing his non-Christian friends tried to do was basically act like wingmen (for lack of a better word.) They knew, that with Asperger's it was difficult for him to meet women, so they said they would help him by chatting him up to other girls, basically letting them understand what type of person he was, including his difficulty with communicating with others.
I don't know if that would help for you or not, but you might see if others would be willing to step in and help, or just tell the girl you're interest, when you meet her, that you have Autism, and it inhibits your ability to communicate right at first.