Lived in S. Florida for 12 years - still here, for the moment.
Cob
should do fine in a hurricane, so long as the roof is well attached. There isn't the big day/night differential in temperature to take advantage of the thermal mass of cob, as in the dessert. But it appears kleiwerks is building with cob in Thailand & Laos, maybe Haiti, all which have wet tropical climates.
http://www.kleiwerks.org/category/projects/thailand/ Building codes will probably be an issue. I also don't know if you could find a decent source of clay. It's mostly sand and coral down here...
I did hear of someone trying to build with cob in N. florida...a few searches should turn it up.
Strawbale makes a great insulator, which is what you would want, but with the amount of humidity and rain down here, as well as the high temps, that thing will turn into a mold trap sooner or later. If there is insufficient air circulation any structure will grow mold down here, and strawbale is just asking for it.
On the positive side, Florida is a
permaculture paradise in terms of the sort of perennials you can grow. That will be one of the hardest things when I leave.