Let me just say it, dating is HARD but you can do it. I haven’t dated in nearly three years because I have a young son but it takes time and practice.
Women like leaders. Start by choosing a casual location and letting the girl you’d like to take her to said location. Perhaps an ice cream shop or coffee and have a conversation about interests, your days in college, what you’re doing in life now and what you’d like to do in the future and ask her questions along those lines as well. After your date, offer to walk her to her car as a polite gesture.
You have no idea how many times I met up with someone who had bad breath. Remember to take some gum with you because you never know if a kiss is on the horizon!
If you struggle with eye contact, look between someone’s eyes as that will make it seem like you are giving eye contact which denotes interest in the other person.
If you rock back and forth, could you replace it with another subtle stim? They sell fidget rings on Amazon which allows you to more discreetly stim, at least initially :)
Remember, people get ghosted all the time (whether you’re autistic or not). I’m neurotypical and I’ve gotten ghosted or heartbroken plenty of times so don’t worry. After you get home from your date text her to see if she made it home ok. That, to me, is a kind gesture and that shows that you’re interested. I’d she responds I would continue the convo otherwise it’s time to move onto a new one :) hope this helps a bit.