San Juan Puerto Rico / SJU Airport is a major hub so once you get there you can take a Cape Air flight to Mayaquez Puerto Rico. Rincon is normally a nice 40 minute drive from Mayaquez.
So, if you don't fly into Aguadilla BQN Airport consider Cape Air. We think it bets driving the 2.5hrs from San Juan and it definately gives you a beautiful aerial view of Puerto Rico!
You can also do some Caribbean Island Hoping from your Rincon Puerto Rico Vacation Rental home base!