Nesbitt grew up in Belen, New Mexico, and played college football as a punter under head coach Dennis Franchione for the New Mexico Lobos. He averaged 45 yards a punt as a junior, the second highest in New Mexico school history. And as a senior, he "led the nation in net punting." After his college career, Nesbitt pursued a career in professional football. In June 1994, he signed a contract to play professional football for the New Orleans Saints. He was cut by the Saints in late August 1994. The following year, he was re-signed by the Saints in March 1995. He was again cut by the team in late August before the start of the regular season. In February 1996, he signed with the Minnesota Vikings. He was released before the start of the regular season.
Coaching career
Nesbitt was as a head football coach at the high school level, including stints at his alma mater, Belen High School, and at Albuquerque, New Mexico's Manzano High School. In June 2001, Nesbitt left his position at Manzano High School to become the running backs and kicking coach at Howard Payne University in Brownwood, Texas. After four years at Howard Payne Nesbitt accepted a post as the offensive coordinator at Blinn College in Brenham, Texas. At Blinn, he worked under head coach Brad Franchione, the son of Dennis Franchione who had been Nesbitt's college coach. During Nesbitt's two seasons at Blinn, the team compiled a 19–3 record and won the NJCAA national championship. From 2007 to 2010, he was an assistant coach at West Texas A&M. After three seasons as the quarterbacks coach, he became the offensive coordinator in 2010. During the 2010 season, Nesbitt's offense was ranked as #2 in the nation with an average of 529 yards per game in total offense and #4 in scoring offense with an average of 42 points per game. In January 2011, Nesbitt became the offensive coordinator at Stephen F. Austin State University in Nacogdoches, Texas. He spent only one year at Stephen H. Austin. In January 2012, Nesbitt was hired as the offensive coordinator for the Houston Cougars football team under head coach Tony Levine. His work with offense received favorable coverage during the spring and summer months. However, after a 30–13 loss to Texas State in Houston's season opener, Nesbitt resigned his position as offensive coordinator. The Houston Chronicle reported that Nesbitt was "forced to resign... in the wake of a stunning season-opening loss to Texas State."