I also went away to college but not as far as you're going. I moved just under 300 miles away. Personally, I love being away from home. I love knowing that my future, my health, my everything is in my own hands and knowing that I can take care of my own well-being. It's very satisfactory to take care of yourself and handle things on your own, even if it is overwhelming sometimes.
Before classes start you have to sign up for your school's disability services. The way my university does it is that every semester you submit your classes and professors electronically and the disability office gets your accomodation letters together (explaining all the accomodations teachers have to give you, such as excused absences, etc.) You pick the letters up and meet with all your professors privately to sign them, but they are NOT told what your disability is. That's confidential and they're not even allowed to ask. Then you return your letters to the disability office. Professors only have to adhere to your accomodations after they've signed the letter, so if you don't take it to them until midway through the semester after you've already missed classes or tests then they don't have to let you make anything up.
I rarely ever go to the hospital myself, but I do get sick every semester, sometimes multiple times. Depending on how long you're usually in the hospital for, you should be able to handle full-time if you work extremely hard. I'm a senior and have only fallen below full-time status twice, although last semester was a close one. I'm usually higher than full-time (I've taken as much as 19 hours in one semester before) as well as being involved in organizations.
It can be done, but if you have to take a little longer to graduate then that's fine. Most people don't graduate in four years these days, anyway. In fact, the average graduation rate at my university is 4 1/2 years!