I think it's doable, depending on your illness and the severity of it. My roommate from the CP and I both have depression issues, I also have obsessive compulsive disorder. We both finished it. You can PM if you want to talk specifically.
I think it depends on how you look at it xhananh. It might work as a sort of immersion therapy by which you'd be able to possibly deal a bit better with it as you become more accustomed to loud environments. Also a big factor might be what role you are placed in as well. As I think attractions or QSFB might be a little much based on how you described yourself, something like custodial might fit pretty well because you have latitude to move around and away from loud locations (more or less).
Do they have an equivalent of a student health center for the CPs? I'd like to have somewhere to go if my depression got bad, or I was relapsing (eating disorder) without being charged a fortune.