As an Miami native, I can practically FEEL the humidity looking at those pictures. It looks great and I am sure you will get excellent year round use. Do you think you will have any problems with rain entering through mouth of the oven? That is not a comment on your design, just a question about the massive rains you guys can get down there. Are you planning on leaving that nice door on all the time?
Here is a link to those pictures for easy reference.
Great work!
Drake