I stand semi-corrected (indeed it is not downstate but it is not fully accredited).
The LCME accreditation process progresses in sequence, from preliminary, to provisional, to full accreditation. In June 2015, the CUNY School of Medicine was given preliminary accreditation status, and our next step is provisional status which will be discussed at the LCME’s June 2018 meeting.
https://www.ccny.cuny.edu/csom/cuny-school-medicine-accreditation-update#overlay-context=csom
It looks like the school doesn’t have clinical education yet although the page you linked me to looks like it is developing a relationship with St. Barnabas Hospital.
Early in the fall semester of the fourth year, students begin the application process to the cooperating medical schools: Albany Medical College, New York Medical College, New York University School of Medicine, Northeast Ohio Medical University College of Medicine, and State University of New York (SUNY) Health Science Center at Brooklyn.
https://www.ccny.cuny.edu/csom/bs-md-program-curriculum
I would definitely choose Brown over Sophie Davis now. Maybe in 10-15 years it’d be a different story.