A great place to begin finding books on Latin American and the Caribbean is using OneSearch.
Enter keywords, titles, or author and use material type to filter by books. If the book you need is not available, you can request it via Inter Library Loan.
If you want to browse for Caribbean and Latin American print books head to the 5th Floor and look at books with a location in this range with F 1201 → 3799. This is not the only place to find books on this subject, but it is certainly one of the main sections.