REDEMPTION FOR BILLY ON DWTS?

Once Billy Bush hangs up his NBC mic, he could put on his dancing shoes. ABC’S Dancing With the Stars has helped celebs rehab their soiled reputations, including Olympic swimmer Ryan Lochte (left, with Cheryl Burke), who’s turned the current season into his own personal apology tour after lies he told — to Billy in a Today interview! — about being robbed in Rio de Janeiro got him into hot water. The show reportedly is courting Billy for the spring 2017 season. But one insider says it’s unlikely: “ABC’S a family-oriented network, and sexist behavior isn’t tolerated.”