I suggest that you go up the "food chain".
If this is a small enough institution that there is no "married student housing", then there may be some other sources on campus that can help you.
Contact your campus ombudsman, Provost or dean. (Dean of students, or similar position.) While no one in these offices may have the ability to help you directly, they would have a better idea of where to direct you.
This may be something that you may want to bring before student government - you may not be the only one with this problem. Just out of curiosity, how do they deal with students who have minor children?