YOU SPEND ALL summer honing the can’t-see-it-coming slice, the killer backhand. Then winter hits and, poof, it seems tennis is over until it’s safe to leave home again without an anorak. Consider these resorts, which entice racket-enraptured guests with everything from weekend clinics and make-your-own tournaments to private lessons and ball machines. Many have added pickleball to their lineups, too, a nod to the fast-growing sport. At Little Dix Bay in Virgin Gorda, simply give your butler a ring to arrange for time on the court or elsewhere.

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