Team Logo. The Greenville Drive are a team in the South Atlantic League. They are the Low-A affiliate of the Boston Red Sox. They get their name from the city's rich automotive past. Retrieved from "https://prosportsteams.fandom.com/wiki/Greenville_Drive?oldid=7488" Categories: South Atlantic League teams Teams in South Carolina Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.