You will be able to play tennis by day or night at all of Guadeloupe's resort hotels, at most of Saint-Martin's, and at some of Martinique's (where tourists may also use two private clubs Tennis Club de Fort-de-France and Tennis Club du Vieux Moulin when the courts are not in use).
You can kick people out of the tennis club courts if you want to play at all of the Martinique resorts.