Rincon & Palmas are really nice but tend to be more expensive so if you need to more stringent on how much you pay, that might be a challenge.
Based on your comments, I would recommend seeing if you like any of these cities: Aguadilla, Aguada, Isabela, Quebradillas & Camuy.
In these areas, which all are great, you can typically get more bang for your buck. You’ll still be within reasonable distance to those activities
Good luck in your search & welcome!