I rode on a NCAA team, and all of our horses were turned out 24/7 (I went to school in the south with great year round weather). We did have some borrowed/personally owned horses that were placed in stalls for most of the day.
I know that when I was on the team, I spent most of my free time at the barn. I would be there at least 4 hours every day (if not more). Perhaps you can work out your own schedule between classes and practices to turn out your guy. Maybe head to the barn first thing in the morning to turn him out, go to your classes, then when you are done with practice you can bring him in? You will also become best friends with some of these girls on the team. You can see if one or a couple are willing to help you out by turning him out/bring him in on days that you cannot. The only problem that may arise from this is days in which you go home for holidays. Then it wouldn't be so bad to pay a little extra to have someone there caring for the horses do it for you. That is, of course, if you aren't taking him home with you on breaks.
Hope this helps.