While playing for the Aztecs he set an NCAA record by throwing nine touchdown passes in a 70–10 win against the New Mexico State Aggies on November 15, 1969.

[4] Despite a dismal season, he was sixth in yards, sixteenth in touchdowns, seventh in completion percentage alongside being second in interceptions.

Shaw threw for 1,813 yards in twelve starts and thirteen appearances, having eleven touchdowns and 26 interceptions (a league high) with a 51.2 completion percentage.

[10] Between playing football, Shaw did jobs such as insurance sales, business consultancy and carpet franchise supervision.

[12][13] He served as assistant coach for Eastern Illinois in 1980, Chula Vista High School in 1981, Western Illinois in 1983 before being assistant coach/player with the Chicago Blitz of the United States Football League in 1984, although no job was longer than a year, owing to his desire to keep his family of four children in the area of San Diego.

He applied to be coach at San Diego State in 1980, but he was denied, although he did call games on KSDO for the team in 1986 for a year.