This is a common source of confusion for people considering a Caribbean medical school.
States don't actually offer accreditation. Nor does the United States accredit foreign medical schools.
There are, however, federally recognized international accreditation authorities. In that respect, Trinity's accreditation is valid in all 50 states.
However, in some states there is the matter of independent medical board approvals, (this list is shrinking as more and more states recognize ECFMG and NCFMEA decisions as sufficient standards of quality). It is still not a binary status, though. It is not just approved/disapproved, there is also "unevaluated." In most states, graduates from an unevaluated school can still obtain a license or match into a residency, the one exception being California, which is now effectively a non-issue for Trinity graduates.
We do a state-by-state rundown on this regularly updated blog post.