Hey,
My understanding is that most state schools in Massachusetts, New York, California-all of the progressive states-tend to have some official, across-the-board policy in place, even if it isn't listed in bold letters. MM is right that starting college full time can be easier, although it does have it's pros and cons. On the plus side, I was not misgendered even once after I went off to school-but the downside is that you won't have much support going into school. Even if you can't pass very well yet (like myself) students are usually a very accepting crowd.
One thing you might want to try is writing a letter to the dean of students, or someone else who is in a position above the housing office, who might be able to directly influence the situation. I happen to be at a state school without a concrete system in place as well, and after I send that letter, I was placed with a female roomate-our room even had an attached bathroom. It's certainly worth the shot. Most of all, don't choose your transition over your education. Even if it's a rough road, you'll be so much happier in school, surrounded by like-minded people. Take my word for it.