I'm also the female aspergers part of my relationship. It's still early days - 6 and a half months.
He made it clear he liked me initially. I'd also liked him for a couple of years but far from letting him know, I completely ignored him. To the point of being rude I've since had pointed out to me 
I can't read cues and he is very gentlemanly so, on the couple of occasions we had talked prior to getting together, i had absolutely no idea he was interested.
I didn't tell him until the 6 month mark because I thought I was doing a really good job of masking. I was aware of a few occasions when he might have been aware I was stimming and a couple of occasions when I felt really socially out of my depth, when his response was fantastic. But, when i told him, his relief was palpable and he told me that I made a lot more sense and he rattled off half a dozen or so recurring situations when he hadn't understood why I'd behaved the way I had. I was oblivious to these but, when he told me, it made sense.
I admit that communication is still an issue. I overthink massively and am very non-confrontational. I keep it all in my head and forget I'm supposed to speak to him if I'm uncertain!
We're still working out communication glitches but I've told him that, if I do something he doesn't like or finds confusing/upsetting or hurtful, then he needs to tell me because it will never be something I have intended to be hurtful but I won't realise if he doesn't say something. Likewise, I need to remember to ask for clarification rather than keeping it all in my head.
If I'm very upset or angry, I'm more likely to shut down than argue, which is possibly what RLEOM experienced with her ex. Sometimes, the emotion is so overwhelming and painful that I can't deal with it. I also find that when I'm done, I'm done. I read a lot about how people can't switch off their emotions but I can. I'm very black and white - you're either on my team or you're not. There is no grey area.
I'm also very pragmatic. So I've had male friends declare they have feelings for me and it hasn't impacted on the friendship at all. I'm quite capable of compartmentalising like that and don't let emotions pointlessly interfere. But I don't remain friends with exes either because, like I said, once I'm done, I'm done.
I won't get hints and I am never certain I've understood an intention correctly. I have to think and evaluate absolutely every interaction, which is exhausting, tbh. So I rely on people being really blunt. It's hard to offend me. If you tell me a dress or a hair colour doesn't suit me, I won't take offence. Nor if you tell me I've put on a few pounds. But I will be equally direct and some people don't like that.
I had a friend at school (long before either of us had ever heard of autism!) who used to tell me that she valued a compliment from me more than anyone else because she knew it was genuine. So I won't flatter anyone and don't understand why people 'fish' for compliments. So compliments might be few and far between but they are sincere when they come.
I don't have a huge need to spend loads of time with him. A good quality, even if brief, text exchange is as satisfying for me as spending a weekend with him in person. I find men who want to spend a lot of time with me quite stifling because indeed a lot of time to myself. I'll have a lovely weekend with him but then not speak to him for 2 days because I need to recover from that.
I initially messaged to thank him for a lovely date but only because I know that's what people do. And stopped after a couple of weeks.
On the plus side, I'm very loving and completely loyal and faithful. I wouldn't look at another man while I'm with someone. And that's a trait of most autistic people I know.
I've dated ND and NT men. I find ND men by far the easiest. You always know where you stand. But only if they accept their diagnosis means they might mis-fire sometimes and are willing to put the effort in. An ND man who militantly believes they are right and you should conform to their way of seeing the world because it is the only and the right one, is a nightmare and lead to nothing but angst and heartache. We all, autistic or not, have a responsibility to treat those around us with kindness and respect. I just sometimes need to be told when I'm fucking up on that count because it's never intentional. I can just be quite self absorbed. Apparently...
I hope that helps..?
I'm also happy to answer any questions.