At St. Louis University High School, Raymonds was a three-sport standout in baseball, basketball and football. He played one season each of varsity basketball and baseball at Saint Louis University before entering the US Marines in 1943. Following World War II, Raymonds returned to St. Louis University and earned three additional letters each in basketball and baseball, and was named to the All-Missouri Valley Conference team as guard in 1946. He was a member of Eddie Hickey's 1948 Billiken squad that won the National Invitation Tournament championship with a 24–3 record. Raymonds was graduated from St. Louis University in January 1949, with a bachelor's degree in education. His baseball talents drew the attention of major league scouts, and he was signed to a contract by the old Boston Braves.
Coaching career
After one year as an insurance agent, Raymonds was persuaded to try coaching. In five seasons at St. Louis University High School he compiled a 108–23 record. His Junior Billikens won the 1952 Missouri State championship and were state runnersup in 1953. While coaching at the high school, Raymonds also guided the 1955 St. Louis University baseball squad to a 15–5 record and the championship of its division in the Missouri Valley Conference. Moving into the college ranks in 1955 at Christian Brothers College in Memphis, Tennessee, Raymonds transformed a weak program into a small college power with a six-year record of 110–50. Under Raymonds' guidance, CBC won three NAIA District 27 titles. Raymonds joined the Marquette coaching ranks in 1961 as assistant basketball coach to Eddie Hickey, and coached the MU freshman and junior varsity squads from 1964 to 1973. His teams recorded an impressive 127 wins with only 18 losses. As assistant coach to Hickey's successor, Al McGuire, Raymonds was recognized as the skilled technician who coordinated and disciplined the Marquette attack. Raymonds was head basketball coach at Marquette from 1977 to 1983 and compiled a record of 126–50 in six seasons. His teams reached post-season competition in each of the years that he was head coach. His overall record at the collegiate level is 236–100 in 12 seasons.