Babymoon recs in November from NY

Looking for warm weather Babymoon recommendations for mid-November:

- 4-5 days
- Traveling from NYC
- Hotel budget around $1k /night
- Prioritizing good food, a nice quiet pool, good service, an area to walk around (town, beaches, etc…)
- Pregnancy concerns - Zika risk (generally low in Caribbean?), ability to get home/to medical care if needed (will be late second tri)

Saw some old threads but if I’m missing any recent ones, please share!