Peavey had great success as high school football coach with a record of 44–4–2. In four seasons as the head coach at Bishop Feehan High School in Attleboro, Peavey led the Shamrocks to four state championship title games and won three of them in a row. The Shamrocks were also league champions all four years. Peavey also helped lead Foxboro High School to back to back state championships.
Collegiately, Peavey is a former head football coach for the William Paterson University Pioneers football team in Wayne Township, New Jersey. He served for three years, 1997 to 1999, and compiled a 5–25 overall record (1–14 conference). A highlight during this otherwise unsuccessful campaign was leading the Pioneers to their first road win in 25 games and their first home victory in three years. In 1998, his offense led the conference in rushing. Peavey's only other collegiate head coaching job was at Southwest Baptist University, where he spent the 2005 and 2006 seasons. In two years, he compiled a 4–18 record, and then resigned in July 2007.