I checked this out after I wrote the story, and realized I'd confused two images- the ska guy and the Beat girl. Here's a the ska guy:
Also features the checkerboard pattern. However, the shirt I actually was thinking of looks like this:
No ska guy, no checkerboard.
A fascinating fact about The English Beat: In England, they were just "The Beat," but they had to call themselves "The English Beat" in the United States because there was already an American band called "The Beat."