Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Birmingham, Alabama to South Pacific 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 South Pacific. Flights to South Pacific from Birmingham, Alabama in November are about $1,451 on average during November, but can be found for as low as $779.