From the APA, via COGDOP:

Our Minority Fellowship Program (MFP) Fellowships are about more than simply financial support – appointed Fellows join a lifetime community of mentors & peers committed to both professional success and the improvement of ethnic minority behavioral health issues. MFP is a longstanding fellowship program funded by the Substance Abuse and Mental Health Services Administration (SAMHSA). We are committed to increasing the number of ethnic minority professionals in the field and bettering the outcomes of the communities they serve.

Of particular relevance is the Mental Health and Substance Abuse Services (MHSAS) Predoctoral Fellowship. Note that this is for those that intend to serve ethnic minority populations, but is not restricted to applicants who identify as ethnic minorities. Deadline is January 15, 2019.