If you want a woman, anyone woman, period, and it doesn't matter who, as long as she is indeed a woman, then I have some suggestion.
1. Start going to AA meetings:
It has been my observations that recovering addicts and alcoholics are dating ready. For some reason, these woman just need to be with a man, and they aren't particularly selective. They just want a man.
If this fails I'd like to hear about it.
2. Single mothers:
Single mothers have a hard time getting a date and like men who could be good fathers.
3. Plain Janes:
The plane girl in the T-shirt with no makeup, glasses, and wash and wear hair. A lot of these girls are down to Earth girls who have a higher chance of being on the spectrum and would rather spend their time with more important things than makeup and fashion. There's a higher chance they will turn you down than the others above because a lot of them are asexual but there are ones who aren't, and they get overlooked easily.
4. I'm sure I will get heat for this but...fat girls:
They just don't get approached as often as thin girls and are usually much more flattered when they do.
5. Ugly women:
Let's face it. Some people are just plane ugly. Or at least in need of a makeover. Why not ask them out?
Fun places to pick girls up where it's not so awkward:
1. Renaissance festivals:
You can really be chivalrous and charming and there is ambiguity as to whether it's part of your character act or not so if she rejects you you won't have to feel like a fool (though you shouldn't anyway) because she won't know you were actually serious. If she takes to you, you have a chance to get her number.
2. Anime conventions and Comic Con.
People seem to like to be approached and have others comment on their costumes and take photos. I guess the challenge here is making sure the person is legally date-able.
3. Mensa:
If you can get in anyway. A lot of men who do get in have an arrogant streak so women in it might take better to a humble guy with AS with interesting things to say.
4. A restaurant...the older waitress:
Most of these older waitresses (30's-40's) are single. Go to the place a few times. Try to get the waitress you like...ask her shift if you have to...this really isn't unusual because a lot of times restaurant regulars like the same waitress. Be sure to exchange a few words with her on occasion and eventually, when you leave the tip, leave it with your name, number, and a little note asking if you can take her out to dinner or something. At least she will be flattered.