What I found out is that you would have to make the A-cut for the Dominican Olympic Committee to send you to the event. For instance, no Dominican swimmer was funded to go to the Pan Am Games in Toronto.
The meet to make the time in would be the FINA-endorsed Naco International Competition that is held on the Thanksgiving weekend at the Olympic Pool in Santo Domingo. It is a qualifying competition for the Olympic Games. If you are still interested, will get you a contact at the Dominican Swimming Federation that you can write to.
I was told it is unlikely that the Dominican Open will be held in December, but it also is a qualifying event.
The event to be held in November is the XXXIII Torneo Invitacional Internacional de los Delfines del Club Naco. Here is the link with information on that tournament that will be held 26-29 November 2015. The information specifies that times are valid for entry into the Rio Games.
http://www.cccan.info/cccan/UserFil...ional NACO 2015 (Clasificatorio Rio 2016).pdf