I cant really tell you much beyond what is available on their website and PTCAS. I'll be honest, I live in Tennessee and and TSU is not in a great area, and it isn't considered to be a good school and is a bit looked down on, at least for undergrad. They might very well be better for graduate school.
If you want to apply to TSU you will likely have to apply through early decision. They have 36 slots, and this year ALL of their spots were filled by early decision candidates before regular applicants could even apply. Since the other Tennessee schools like Belmont and UTC are so competitive, I think a lot of people do early decision to TSU because it isn't as competitive.