Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Florida to Mauritius as you normally would.
Due to multiple factors, expect to potentially pay more when booking in September. For low rates, November can be a great choice for travel to Mauritius. Flights to Mauritius from Florida in November are about $1,612 on average during November, but can be found for as low as $946.