The list of suitors for Nate Silver’s data-driven website FiveThirtyEight has narrowed to a few, as the statistics guru prepares to move on from a nearly five-year tie-up with Walt Disney’s Co.’s ESPN.

The final contenders include ABC News, The Athletic website and The Atlantic, according to people familiar with the matter. ABC News, another Disney unit, is a logical home for FiveThirtyEight, one of the people said, because Mr. Silver’s expertise in polling and political analysis would be especially useful as midterm elections...