Arriving at the Agüadilla airport (BQN) is one option. The distance from this airport to Rincón hotels or Airbnb's is about 40 minutes.
Other option is arrive to the San Juan airport (SJU). The driving time is about 2 hours. You can take a Taxi or an Uber and you will be at Rincón.
Using the Uber mobile application or visiting their website www.uber.com get a reliable ride in minutes at any time.
Once in ground you can call a Taxi or an Uber. From the BQN airport to Rincon is just 30 minutes. Here are some of the taxi company you can call.
Taxi Service - As soon as you arrive to BQN or SJU you can call one of this company taxis:
Rincon Taxi Services call:
Rides 413 / 787-689-1720
Pedro / 787-239-6325
Ivette / 787-408-7295
Saltares / 787-590-1876
From Aguadilla call:
Aguadilla Taxi / 787-318-9546
From San Juan call:
Rochdale Radio Taxi - 787-721-1900
Astro Taxi - 787-727-8889