SUNYs that have single dorms with bathrooms?

I am really interested in going away to college but have a chronic migraine disorder that is sometimes accompanied by extreme nausea/vomiting. Particularly interested in Stony, Bing, New Paltz, but would be open to other schools that may be able to offer a single dorm accommodation that has a bathroom (not shared in the hallway). Does anyone know any schools that may offer this?