Stinson was selected in the Major League Baseball Draft by both the Kansas City Athletics and Washington Senators while at Miami High School but did not sign with either club. He was then taken by the Los Angeles Dodgers on June 7, 1966, as the 15th overall selection in the secondary phase of the draft while attending Miami-Dade Community College. Stinson broke into the Majors on September 23, 1969 with the Dodgers, at the age of 23. In and, he appeared in a total of eight games for the Dodgers. Then on October 5, 1970, Stinson was traded along with Ted Sizemore to the St. Louis Cardinals for Dick Allen. He appeared in 17 games in 1971 for the Cardinals. A journeyman, Stinson moved on to the Houston Astros, spending the season in that organization. He then played two seasons each with the Montreal Expos and Kansas City Royals. A new opportunity presented itself when the expansion Seattle club, one of two new American League teams that played their inaugural seasons in, selected Stinson from the Royals on November 5, 1976 as the 25th overall pick in the expansion draft. Stinson had been a backup for his Major League career prior to joining the Mariners. With the young Mariners club, Stinson saw regular action for the first time, being designated the primary catcher in 1977 and. Stinson logged his best overall season in 1978, establishing career highs in games played, at-bats, hits, doubles, home runs, and RBI. In 124 games for Seattle that season, he batted.258 with 11 homers and drove in 55 runs. He also had a.346 on-base percentage and a slugging average of.404. Yet with the March acquisition of Larry Cox from the Chicago Cubs, Stinson's playing time slowly began to dwindle. That season, Stinson caught in 91 games to Cox's 99. By, Cox was the Mariners' regular catcher, with Stinson the backup before eventually losing the backup job to 24-year-old Jerry Narron, future Major League manager and coach. Stinson's final game in a big league uniform was August 1, 1980, after over three and a half seasons with the Mariners. He was released by Seattle seven days later. Stinson tasted his only postseason action with Kansas City in, appearing in two games of the American League Championship Series against the New York Yankees. In 652 major league games, Stinson had 408 hits in 1634 at-bats for a.250 batting average, with 33 home runs and 180 RBI.
