Can't really answer that without reading your lease.
However, according to the statute the LL is only entitled to one or the other.
See 83.595(3):
http://www.leg.state.fl.us/Statutes/.../0083.595.html
If you were going to do that I suggest that you just pack up and leave and not pay either. Drop your keys off on the way out and leave a forwarding address (in writing and keep a copy) with the management office.
The strategy there is that the LL is left with an empty unit and no money from it (other than your deposit, which you will lose) and my own experience as a landlord is that landlord's don't like empty units that don't bring in any money.
Therefore he will have to choose between 83.595(1), (2) or (3).
No guarantee here, but it's not likely going to be (1) because that would absolve you of any liability and it's not likely to be (3) because then he'd have to wait until the lease is up to go after you for the money.
So he's more than likely to re-rent as soon as he can and then you will only be liable for the period from your move out until the re-rent date because basic contract law does not allow him to profit from your breach so charging you for any more than that period (plus any additional expenses) would not hold up in court.
Unfortunately, you do run the risk that he might have a high vacancy rate and he is allowed to concentrate on filling other units before getting to yours so, eventually, you could be liable for weeks or months. The advantage to you is having your money in your pocket gives you some leverage for negotiating a written settlement agreement that would avoid a lawsuit and trashed credit.
The reason I say leave a forwarding address is if you don't and you get sued he need only serve you at the last known address. You won't know about the lawsuit and he'll get a default judgment which will follow you around for years while the debt gets higher and higher.
Understand this, though: You are the breaching party. You are the bad guy. Whatever you choose to do can bring financial consequences to you that you won't like.

