My suspicion is that you will wind up settling on the latter, "finding property and just visiting." Sorry to tell you that.
My wife is a RN, a floor nurse with Med/Surg certification. We looked at nursing jobs a couple of years ago and the situation is grim. She would have to take and pass boards in PR, and if she found a job, it would be at 1/3 her current pay. In addition, RNs are responsible for 8 patients (compared to 5 here). My wife just recently completed certification as a WOCN, which is a national cert. This improves her odds of finding employment, but the outlook is still pretty grim. We haven't relocated yet, but when we do, our savings/retirement income will cover us, and my wife can take her time finding a job, since nursing for her is a vocation, not merely employment.
As for the broader economic situation, things have not improved since your parents left. There is still a net exodus from the island. My understanding is the emigration is particularly acute in the health field. In those circumstances I wouldn't expect to maintain your current standard of living by relocating to Puerto Rico and relying on the local economy for income.
My guess is that you will find that economic opportunities are significantly better where you are, though property in PR is cheap. The purchase of a property which might be rented when you are not visiting may be the way to go.