Unfortunately, I don't think it looks good for you. There are a lot of laws and regulations the NPC has had to fight long and hard over to allow their sororities to remain restricted based on gender at schools that function under Title 9. While I appreciate your situation and your desire, my guess is most if not all NPC sororities wouldn't be able to take you if they wanted to.
I guess I would reach out to the Greek Life advisor at your school and see what's what, as a starting point. Because who knows? I could be wrong. If there are any local sororities there, then that's a whole different ball of wax too. And then there are the perfectly lovely non-NPC sororities that may have different rules or lack of rules they need to work within... you do have alternatives, it just may not be what you were thinking of.
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"Traveling - It leaves you speechless, then turns you into a storyteller. ~ Ibn Battuta
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