 The historic Cape Cod Baseball League is being highlighted on the Today Show. Scott Pringle reports. The Summer Baseball Wooden Bat League has been around since the late 1800s and features elite college players, many of whom then go on to the major leagues. Aaron Judge, Peter Lonzo, and Kyle Schwarber, three of the MLB stars that have spent the summer in Cape Cod playing in the league. I can't picture a summer on Cape Cod without Cape League Baseball. It's the equivalent of mini golf, ice cream, and lobster. Born Braves President Nicole Norkervicious has hosted summer players over the years.