Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Fairbanks to Puerto Rico as you normally would.
Due to multiple factors, expect to potentially pay more when booking in November. For low rates, June can be a great choice for travel to Puerto Rico. Flights to Puerto Rico from Fairbanks in June are about $1,221 on average during June, but can be found for as low as $700.