If it's your freedom, move out, get a job, go to community college, and take your time getting that degree. You might meet a gay Mormon boy with parents like yours—shitty and mean—who could use a fake girlfriend until he graduates, and you could use a fake boyfriend until you move out of mom and dad's.
If it's getting your degree before turning 30, knuckle under, spend a lot of late nights "studying in the library," and go to the student resource center on your campus and ask if there are any campus services/support groups for students with autism or Asperger's syndrome. You might meet some people who you could see yourself living with, as roommates and friends, and be able to get out of your parents' house sooner rather than later.
By that standard, I haven't been gay for You say you don't want to hurt your parents—you're a good daughter—but it's clear your shitty parents don't care if they hurt you.
Typically my advice would be to tell your mean and shitty parents what they want to hear—to feel free to lie to them under duress—and then lean on your friends, do your own thing outside of the house, and be careful not to get caught. So you'll have to ask yourself what you value more: freedom now or getting your degree sooner rather than later. If there's an LGBT student group on your campus, go to the meetings and share your story.
I also get and respond to questions from asexuals, and I've urged sexuals not to regard asexuals as defective—or, for that matter, to view committed-but-sexless relationships as defective.
So long as both people in the relationship are content and happy, it's a good and healthy and functional relationship, whether the sex is vanilla or spicy or nonexistent.
Here are a few ways to tell when you’re losing the battle.
Is that the only way I could find happiness in a relationship?
It's not something I want to do—but at this point, I don't see any other options. Consequently, AAA, people tend to write me when sex (needing it, wanting it, getting it but not the kind you want, etc.) is the problem, and sex (in some new and improved form) is often-but-not-always the solution.
What about someone who doesn't want to have sex, ever?
I've asked other people for advice, and the answer is usually "take one for the team," have sex to keep them happy.