From 1981 to 1993, Rice was a member of the Education Appeal Board of the United States Department of Education. He also served as a consultant to the United States Commission on Civil Rights and to various Congressional committees on constitutional issues and was an editor of the "American Journal of Jurisprudence". He was a member of the governing boards of Franciscan University of Steubenville and the Eternal Word Television Network. He served as chairman of the Center for Law and Justice International in New Hope, Kentucky, and a director of the Thomas More Law Center in Ann Arbor. He was an assistant coach of the Notre Dame Boxing Club.