All 3 are good programs!
Here's how they would rank IMO:
Best team-Mizzou
Toughest Schedule-Mizzou
Best Head Coach-Mo State
Best Campus-Mizzou
Best School-Mizzou
Best Field-Mo State (AA Cardinals stadium)
Best Practice Facilities-Mizzou
Best chance to play-CMSU (outstanding DII program, though)
Best Baseball tradition-hard to say? Mizzou has had 3 1st rounders in the past 4 years.(Scherzer,Conway, Gibson) Won a National Championship in 1954.
Mo State has had an NL MVP(Ryan Howard),an AL Batting Champ (Bill Mueller) and a 1st rounder in 2007 (Detwiler)
I graduated from Mizzou, as did my Dad and my oldest Son. But, I grew up in Springfield.
If I had to choose where I would send my Son to play baseball, it would definitely be Missouri State for a number of reasons.
PM me if you want more detail?
Sounds like your boy has good size, but honestly, his numbers are going to have to jump big-time to get interest from any of these places.
My younger Son is currently a D1 OF, but when he was a Soph, he was 6' and 165. (He's now 6' 2" 195 as a College Freshman)
He threw 84 and got 8's and 9's on the Mizzou evaluation. Was 82-84 at Mo State camp, but no interest from either school as a pitcher.