You might want to try Iles des Saintes (Terre de Haute), part of Guadalupe. I've had many pleasant day trips to the island and we were going to go there for an extended stay after Irma cancelled our GCBC trip, but Maria dictated otherwise. It is more difficult to get to, but certainly worth it if you plan to stay awhile. As is Grand Case, this is a good place for eating, swimming and relaxing--perhaps a more gentile, self contained, Grand Case.

Of course, Tahiti has a French flavor, but is kind of pricey. Could be a relatively long trip, unless your a west coaster.

Good luck in your search.