two points....

1st - do not worry about if the hospital takes "too much time". so what if it cost you a semester of school. That does not compare to your LIFE.

2nd - voluntary is better than involuntary (in my opinion), in my state if you go involuntary there are two big negatives. First you have to go before a judge before you are allowed out. Secondly, this becomes part of your permanent record (visible).

Just my opinion.