As stated above House Hacking would be my recommendation especially if your wife is comfortable with the idea of sharing your new house for the immediate future. Depending on what you buy this can be varying levels of comfortable and in some spaces it is easy to segregate the home to add more privacy between your guests and yourself. As far as how to do this I agree with the above post that AirBnb is preferable to any other option for a few reasons.
1. No commitment, if this option doesn't work for you, you can always change course.
2. The comfort factor. I have hosted over 400 guests through AirBnb across multiple properties and have had a total of 3 bad experiences. The community as a whole is respectful and the fact that you are there on site will make it even more so, they will respect your space and are people that are used to staying in shared homes.
3. Another reason I think this will work for you is the market that you live in. You live in an exotic destination and will be competing with hotels for most travelers that are renting a few nights from you. This generally means a higher nightly rate for a shared room. I know you are probably rebounding from the hurricane and I hope that all is well, as PR comes back as a vacation destination your rates will go up.