Hunter and Lehman Colleges

I was seriously considering applying to Hunter and Lechman Colleges, but now im not sure because of the lack of housing. I have a 3.6 GPA and my SAT score is 1880-610CR,660M,610W. What are the chances that ill get housing? Im not a NY resident so will that hurt my chances? If I dont get housing and want to still go, will there be other students looking for housing that i could room with, or do most just commute from home?