Cape Cod Baseball League Share: Recreation and Family Fun Cape Cod Baseball League Visit Website 449 Braggs Lane Barnstable, MA 02630 (508) 362-3036 About Map About College summer baseball league providing excellent family entertainment. The Cape League is a stepping stone to the Majors. One out of six Major League players played on Cape Cod. What's Nearby? Distance: 5 10 15 20 25 50 mi.