Bonaire does not have direct flights from South America. However, you can fly to Curacao (CUR) or Aruba (AUA) and take a flight connection to Bonaire Airport (BON).
Our Advice is to purchase two tickets:
Direct flights from USA are available with United Airlines from Newark and Houston (Saturday).
Delta Airlines has direct flights from Atlanta. It is also possible to fly via Aruba or Curaçao to Bonaire (Saturday).
A good option as well is to buy a ticket to Curaçao (CUR) or Aruba (AUA), and another ticket to connect to Bonaire (BON).
Aruba – Bonaire with Aruba Airlines