Seven days is enough to see the whole island without rushing if you sleep in one place and drive out each morning. This route assumes a base in the north or west; swap the order if you are on the east coast. Every day ends at a beach.

Arrive, pick up the car, swim at Pereybere, drive to the church at Cap Malheureux for the fish tables, sunset at Mont Choisy.
Garden at opening, then Port Louis market and Chinatown for lunch, Aapravasi Ghat after. Out of the city by three.
Hike Le Morne from 7am, beach at its foot after, then up the hill to Chamarel in the afternoon light.
Gorges viewpoint and a forest walk from Pétrin, Grand Bassin on the way back, the crater in Curepipe if the cloud lifts.
Souillac by nine, cliffs, then the cane-field tracks to Rochester and Pont Naturel, and swim at Blue Bay at the end.
First boat from Trou d'Eau Douce, walk away from the jetty, catamaran or speedboat to the waterfall in the afternoon.
If it is a Monday, the market. Île aux Aigrettes booked ahead for the afternoon. Twenty minutes to the airport from here.