I was suspended for a day and the manager sent out an email to at least 13 other people with suspension written on the schedule. What recourse do I have? This is very humiliating to me.
No. Absent some collective bargaining agreement to the contrary, you have no recourse because you have not been legally wronged. You have no right to privacy in this regard. You have no right to be free of humiliation based upon truthful statements.
If the email is truthful and you were indeed suspended, then the manager is entirely appropriate in sharing that information, and indeed has a need to do so.
You would have no recourse in Tennessee, even if your manager gave a national television interview on your suspension and truthfully stated all reasons for the suspension and threw in statements of opinion disparaging you.
Humiliation is only actionable if it amounts to "outrageous conduct" beyond mere truthful speech (e.g. throwing your clothes in the toilet or secretly putting some self-disparaging statement on the back of your uniform) and was calculated with a specific intent to cause you extraordinary emotional harm that was not necessary for some legitimate purpose.