Do chances of admission improve if applying for summer versus fall?

If by BF you mean Bright Futures, I don’t believe Florida pays Bright Futures out of state. The whole idea of Bright Futures is to keep promising students home for college.

Also, if OP’s daughter has a low SAT, she’s probably not eligible for Bright Futures anyway.

If a student has Florida Prepaid, those funds can be used out of state but there may be limitations/restrictions involved.