I went to med school at Mizzou and interviewed at most of the Missouri programs.
1. Washington University/B-JH/SLCH Consortium Program.
Echoing what others have said over here. Very research oriented to the extent that other aspects are neglected. Was told by an attending who had previously worked there, "If you're into exciting research, people will be all over you. If you're not, no one will give you a second glance." Next to nothing in terms of psychotherapy training. Attendings are not interested in teaching so very much self-directed learning.
2. St Louis University School of Medicine Program
Didn't interview here.
4. University of Missouri-Columbia Program
This was my home program and honestly, if the med school itself hadn't been so malignant (google "Mizzou student mistreatment"), I would probably have ranked this a lot higher. Facilities are very nice compared to most psych facilities, there's a fantastic psych ER, good work-life balance. All the residents I knew were really happy at the program. Attendings are really interested in teaching. Honestly, I'd say overall it's probably the best psych program in Missouri.
5. University of Missouri-Kansas City School of Medicine Program
I didn't interview here after hearing really bad reviews from UMKC med students that I knew.
6. And you didn't mention it, but University of Kansas has a program that's pretty much in Missouri (Kansas City).
Interviewed here, ranked it dead last on my list. One interviewer forgot to show up (apparently this has happened to more than one applicant) and my second interviewer spent his time telling me how doctors suck, nurses are awesome, and surgeons are the only doctors who do anything. Turns out he was a surgery resident initially and then transferred to psychiatry halfway through. They have an IM/psych combined program and spent a lot of time telling us about that even though all the applicants that day were categorical psych. Facilities looked really run down but I think they said they were getting new ones soon. It was a half day interview and as a final insult, the resident laughingly told us that they do that so they don't have to pay for lunch. I thought she was joking until they literally finished the day at noon and gave us recommendations for where we could buy lunch on our own. Oh, and we had to fill out a questionnaire with pseudo-psychological questions like, "If you were a car, what model of car would you be and why?"