Bevan was a native of New Orleans, Louisiana, who batted and threw right-handed, stood 6 feet 2 inches (1.88 m) tall and weighed 198 pounds (90 kg).

A broken leg curtailed his 1952 rookie season, a hand injury hampered his final MLB trial with the 1961 Reds, and he also broke his jaw and an ankle and was seriously beaned during his minor league career.

His home run, a solo shot, came as a pinch hitter off Vinegar Bend Mizell of the Pittsburgh Pirates on May 12, 1961.

[1] The following day, Bevan made his final Major League appearance, striking out as a pinch hitter against another Pirate left-hander, Joe Gibbon.

Despite his brief term with the team, he was featured in Cincinnati relief pitcher Jim Brosnan's memoir of the Reds' 1961 season, Pennant Race.