Current Flag:

This is a little bit of a knock-off of the Alabaman flag. It is the same design, just charged with the state seal. There is no symbolism in it that is non-Confederacy, other than the Seminole woman on the seal.
My Redesign:

I thought that the Cross of Burgundy would represent Florida perfectly. The cross is mainly Spanish, but it has elements of St. Andrew’s Cross, a British symbol, as Florida was both a British and Spanish colony. I used approximately the same colors.