McQueen was drafted out of Spring Branch High School by the Braves in the fourth round of the 1968 Major League Baseball Draft. He began his professional career with the Magic Valley Cowboys of the Pioneer League, but was soon promoted to the Double-AShreveport Braves. McQueen missed most of the 1969 season, appearing in just four games for Shreveport. Despite this, he was chosen to start on October 2, the last game of the regular season, for the major league Braves. He pitched just three innings, giving up one run on two hits, walking three batters and striking out three. At age 19, he was the youngest player to appear in the major leagues that year. The next season, McQueen started the year with the Triple-ARichmond Braves. He was again recalled to Atlanta in early June, where he was used out of the bullpen for most of the season. He was moved into the starting rotationin September, and his last appearance of the season was a complete game victory over the Reds. In 1971, McQueen opened the season with Atlanta, again pitching mostly out of the bullpen. That spring, Hank Aaron compared McQueen to Warren Spahn Unfortunately, McQueen missed large chunks of the season to injury, appearing in just 17 games, winning four of them. That would turn out to be his career high. McQueen suffered through another injury-plagued campaign in 1972, posting an 0–5 record in 23 games. Even worse, the pitcher, along with teammate Jim Breazeale, was in a serious automobile accident that December, and he missed the entire 1973 season.
Remaining career
Working on a comeback in 1974, McQueen was taken off the Braves' 40-man roster. He was selected in that offseason's Rule 5 draft by the Reds, and began the year in their bullpen. After appearing in 10 games and posting a 5.40 earned run average, McQueen was sent back to the Braves on July 1. He spent a month in Richmond, then was traded to the Baltimore Orioles on August 7 for a minor league pitcher. He appeared in just four more games that season. McQueen was let go by the Orioles, and he sat out both the 1975 and 1976 seasons. In 1977, he decided to give baseball another chance, and he signed with the Houston Astros. He started out in A-ball with the Cocoa Astros, where he posted a 1.93 ERA in 28.1 innings, earning a promotion to Double-A Columbus. Things went downhill quickly, as he posted an ERA of 6.50 in 14 games, at which point he left professional baseball. Overall, from 1969 to 1974 McQueen appeared in 73 games as a pitcher, making 19 starts for the Braves and Reds. McQueen died at age 67 in Batesville, Arkansas.