FAFSA is just an application that colleges use to determine how much federal aid you can get.
If your family has a decent income, it's doubtful that you'll qualify for any free money. Schools are under NO OBLIGATION to use FAFSA to make college affordable to you. Most schools do NOT have the money to give students with financial need.
Some people mistakenly think that their EFC number is the most they have to pay. That is not true. That is just a number to determine federal aid (which is small and is mostly loans).
For instance, you could have an EFC of $6k and the school may cost $25k per year to attend (for tuition, room, board, books, misc). So, even though you have $19k in "need," a school may ONLY give you $5500 in a loan and $2500 in work study....no FREE money and a shortfall (gap) of $11k.
Then say you have $4k a year grant from Bright Futures at a Florida school, you would still have a $7k gap.
Since you have Bright Futures, the amount you'll get will depend on your grades. BF must be used in Florida, but it will only pay a small part of tuition at private schools. Florida Student Scholarship and Grant Programs
Look at the different levels. Find out which BF level you are to determine how much you'll get from BF.