I find nothing that would prevent OP from filing for an agreed divorce.  The fact that he or his wife owns a business does not preclude the filing. He answers yes to the question (do you or your spouse own a business).  If the court doesn't like how they agree to handle the equitable distribution of the business it can be changed by the judge at the hearing.

You should read the statute and what attorneys in Tennessee say on their websites about how it is handled.