Due to multiple factors, expect to potentially pay more when booking in May. For low rates, February can be a great choice for travel to Germany. Flights to Germany from Baton Rouge in February are about $1,105 on average during February, but can be found for as low as $602.
Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Baton Rouge to Germany as you normally would.