Assuming this is accurate and up-to-date, I would assume PRTS would accept a B.A. from TNARS. [ http://www.tnars.net/about/recognition-and-affiliation/ ] I would recommend checking beforehand with the institution(s) you're looking at.
It is not accredited so I sincerely doubt RTS will accept it. However since it is an affiliate of ARTS while PRTS is a member, I would check into it there.