I need help getting health insurance!

Hello, my name is Jesus (Hey-Zeus). I’m 19 years old and a full-time student at Rutgers University (New Brunswick, NJ). Currently I am uninsured but I don’t know what I can do about it. You see, back home (Bridgeton, NJ) I live with my mom (single parent) who receives social security disability and income. Overall she receives about 7-8 thousand a year and so it isn’t enough to pay the bills and she’s fighting with debt collectors at the moment. I don’t know what to do. Everyone I’ve contacted has told me I need to do General Assistance back home/in New Brunswick; however I have no transportation, money for transportation, and no time to do it as a full time student taking 16 hours of credit. I’ve tried doing work study both last year and this year with no success... I’m just so stressed out. I need help, please. Thank you.

Edit: And to be honest, I technically don't have a permanent address. Because I spend most of time living on campus, I was told I cannot have my name on my mother's lease. We live in HUD housing.