Independence would be very bad for Puerto Rico since it would mean the end of free movement to the rest of the U.S.
Statehood seems like a better option. Unfortunately, it's a political football. If Puerto Rico would be a "blue" state, it would need to be offset by a corresponding "red" state. Maybe eastern California could become its own state.
Long term, statehood seems more likely. Hispanics are generally more socially conservative than the average voter. Within a decade or two, I wouldn't be surprised if most Hispanics vote Republican. Which means there could be a time when Puerto Rico is a purple state, at which time admission becomes much more likely.