I feel the same way about mice. I got a cat. Problem solved! As for phobias, I think avoidance makes it worse, really. Maybe go to a pet store and try to look at the mice a few times. If you're feeling really brave, maybe try to touch one. It won't hurt you.

On the other hand, a mouse infestation can be really unhealthy (not to mention, gross!). Can you request to be moved to a new dorm room? Have you complained to anyone about this?