So I’m just reiterating: The colleges don’t look at your ability to pay (“Need”) when reviewing your admissions’ information. They act “blind” when they admit students and only look at your academic performance.
As for your appeal and living off campus, if your social anxiety is so detrimental to your daily living, you should have contacted your student accessibility center on campus, prior to entering the school, as well as the housing office. The universities don’t want their students to fail, so they would’ve provided housing support and counseling.
You would need historical documentation, provided from your physicians at home. Otherwise, your appeal for more funding is not going to happen.
Edited to add:
My eldest daughter ended up in a single room for three years in her dorm building because that’s what was left; she didn’t have roommates and she loved it. She didn’t have social anxiety, but most colleges have rooms set aside for people that need to be by themselves.
If you didn’t tell anyone that you had social anxiety, how were they to know where to place you for housing?