Different states have different requirements. (see Sree's sticky) Some states require all cores to be ACGME cert'd, some require ALL your rotations to be ACGME, and some just don't care. I strongly suggest you check out the sticky.
I would get your clinicals done first so you can think about where to residency. Once you complete your residency then worry about where to practice on your own.
Graduated June 2011!!!! Matched In Psychiatry 2012 PGY-1 Pgy-2 Passed Step 3 July 2016 Attending in Psychiatry