There's nothing in AL law making OC illegal in AL, so you're good to go for OCing.
However, you'll need your FL CWP to CC and to have your gun accessible in your vehicle.
Someone will be along shortly to give you the legal chapter and verse shortly....
Have a great time, where are you going? Some places in AL are more forgiving for OC than others. Check out ALOC.com for more info. http://alabamaopencarry.com/forum/index.php