A catcher, Wine played parts of two seasons in Major League Baseball for the Houston Astros in 1986 and 1987.

In 2014, Wine managed the Eugene Emeralds, a minor league team in the San Diego Padres organization.

In 1987, Wine was called up again in July after both Mark Bailey and Ronn Reynolds had been tried as the backup catcher to Alan Ashby.

After his playing career ended following the 1990 season, Wine served as an assistant coach in professional baseball from 1991 to 1996.

Prior to the 1997 season, he accepted an assistant coaching position at his alma mater Oklahoma State.