It may be that the code will allow you to frame on 24" centers, I know it used to (I am also in Florida) because several builders I know made their business of building 2X6. They were very successful. However, I have been in many of those houses and even though it is /was "allowed" to build on 24" centers and reduces the number of studs needed over 16" centers, I noticed something that I would not want.
I used to hang wallpaper and as such was very aware of how "flat" walls were or were not. I found that the 2X6 walls built on 24" centers had a slight "bow" in the drywall between the studs while 16" centers did not. It was slight, but it was there. It showed more when looking down something like a hallway, but, because of my profession at the time, I noticed it on all the 24" walls.
Just my :2cents:
BTW: I live in a house with 2X6 exterior walls and would not want to go back to one with less insulation. Living in the "sunshine" stated we need the better insulation in the hot months much more then for the heat.