Since you are going to use the Taíno as the basis for Puerto Rico, I suggest that you use the Taíno name for Puerto Rico instead, which is Borinquen (The Commonwealth of Borinquen).
Additionally, that would mean the demonym for them would be Boricua.
Sources: https://en.wikipedia.org/wiki/Puerto_Rico#Etymology, https://en.wikipedia.org/wiki/Puerto_Ricans, https://www.discoverpuertorico.com/live-boricua
Otherwise, good stuff! I'm really interested to see the development with this project