Career
Beauchamp played college football at Southern University,
He was chosen in the fifth round (138th overall) of the 1968 NFL/AFL Draft by the American Football League's expansion Cincinnati Bengals. He signed with the team on June 12, 1968. In his rookie season of 1968, also the Bengals' first year as a franchise, he played in all 14 Bengals games at linebacker, snaring two interceptions for 35 yards.
In 1969, he played in 13 Bengals games. In 1971, he again started all 14 games with a career-high six interceptions that he returned 53 yards, including one touchdown. For the next four seasons, 1972 through 1975, he played in all 56 games, starting 55 of them.
After eight seasons with the Bengals, on June 21, 1976 he was traded to the St. Louis Cardinals for a fourth-round draft pick. He played his ninth and final season in 1976 for the Cardinals, playing all 14 games. For his nine-year career, he played in 125 games, missing only one game.