Raabe was selected by the Minnesota Twins in the 41st round of the 1990 MLB Draft. He made his major league debut for Minnesota in 1995, and also played for the club the following season. Raabe was released by Minnesota after the 1996 season and signed as a free agent with the Seattle Mariners. The Mariners traded Raabe to the Colorado Rockies late in the 1997 season.
Following the 1997 season, Raabe was purchased from Colorado by the Seibu Lions of the Japan Pacific League. He played 37 games for them in 1998, mostly at second base.