I had to really narrow down my research interests and these were the very few programs with faculty members that were somewhat related to my interests and weren't in areas that my parents and mentors have warned me away from (i.e. Alabama as a liberal WOC).
Totally fine to narrow schools based on what's important for you but it might also decrease your chances of finding both mentorship fit as well as program fit.
One thing to consider is that in many conservative areas, college towns tend to be much significantly more liberal and grad students are much more able to stay within a college 'bubble'. That still might not be a good fit for each person but being a UA grad student living in Tuscaloosa, AL is probably a very different experience than living in a random AL town.
I think it's also important to consider the fact that if the programs have no minorities [sexual, racial, etc] then how can they help me to be more open-minded? Sure they can teach theory but, my second psychology professor warned me away from a program because she [as a very recent graduate from this program] had met the first black woman to graduate from that particular school's entire psychology program, as a peer in a random psych class. I just don't think that I would feel comfortable in a school like that too.
Maybe one way to look at it is what's more important (if you could only choose one): having peers of similar background(s) or a program that is welcoming of difference?
I'm a male POC who attended a PhD in a southern state, did internship and fellowship in another southern state, and now still reside in the US South. We are in a remarkably white field unfortunately. Even in areas with larger than average black and brown state populations (like where I've spent time as a trainee and staff), the number of psychologists of color is still abysmal for a whole host of reasons.
My personal bias is that the more heavily a program is clinical science/research based (e.g., where the typical response to any question is 'Well, what does the data say?'), the less likely it might be attuned to multiculturalism/social justice/etc. Obviously, this will be different place by place and especially if there are faculty interested in things like racial disparities in MH as you are interested.
Counseling psych programs tend to place greater emphasis on social justice and multiculturalism. Some are very clinical science and research oriented, some less so. One marker of distinction that might be helpful is the % of people who go on to work in college counseling center/private practice outpatient therapy settings versus hospital/academic medical center/academia settings.
I was asking about Counseling Psych because I was unsure if they would be able to work with the same populations I want to work with [people who have psychotic episodes and ASD individuals].
Personally, I think it's more important to look at what types of clinical opportunities are available to students. A majority to the entirety of your clinical training will happen outside of the school (esp if there's no program-run training clinic). My program was rural-ish so it would have been impossible for me to get neuropsych training but I got plenty of hospital assessment experience as my integrated reports and assessment hours for internship applications were well above the mean.
If you want SMI and ASD experience, make sure there's infrastructure in place to get these experiences, especially if you'll need to head off-campus for them. Even if there are providers or hospitals doing that work in the area, some will not want to supervise prac students.
I would be happy just doing research and teaching, or teaching at a small university and seeing clients as well while still doing research.
If your career goal is academia, get as much mentoring now as you can on the realities of higher ed and future tenure track jobs. Read Inside HigherEd. Things are rough even for the best and brightest and I don't think anybody knows how things will change in the near future. And it's quite likely that you'll also be living somewhere that won't be anywhere near your ideal and making way less money than the average PhD level clinician.
This isn't to say you shouldn't pursue this path but the reality is that the ratio of PhD students who enter grad school with plans on full-time academia and those who actually end up in these roles is not great for a whole host of reasons.