Would you tell her if you were me?
I think you should disclose ( when you feel comfortable doing so) the next time you start to really like a girl. If you don't you risk her wondering why you are acting a certain way and assuming things, as this girl did.
Hiding it implies you have some character flaw. You didn't choose to have AS or bipolar.
I'm not going to insult you by implying that your concerns have an easy fix. They don't, but the fact that you have insight into them can help you find ways to overcome some of the challenges that you may be facing with dating.
I have a close relative with AS. Some guys here are going to tell you to socialize more or talk to girls more or open up more without understanding the issue around communication and AS.
Also, if you are on a mood stabilizer for the bi polar and feel depressed most of the time as you stated you may want to talk to your doc about that. Effectively treating bi polar often involves a lot of trail and error with different meds and doses etc.