For a perenial, Mysore Raspberry will be your best bet. Be warned that it does not have the charicteristic raspberry flavor and has huge thorns. If you want a more traditional red raspberry, buy a primocane variety (such as Joan J) in the fall from a mail order catalogue. It will grow over the Florida winter thinking that it is a northern summer. Primocane varieties work best for this because they fruit on new canes. So, it won't make a difference if the plant dies over the summer. I would also recommend growing the plants in pots. This limits issues with nematodes and soil borne diseases (presuming that you use sterile soil and makes it easier to adjust sun exposure to the season.