You apparently have no clue that I used to work for the Clerk of Court, very closely with the Property Appraiser, I have been here all of my life, and I own waterfront property. I'm fairly well-versed in beach ownership.
Again, your "premium" is based on unfettered access to the beach, and the unimpeded sight, sound and smell of the gulf. The original developers of our beachfront communities - who I remember, as most were friends with my parents - often fashioned their deeds to the MHWL because, back then, there was no CCL and the MHWL was used in order to protect those who bought beachfront from anything being built between the edge of the bluff and the Gulf. There was no intent to block the beach for recreational use. People who owned beachfront in years past understood the spirit of the beach, and never dreamed of impeding access and use of any portion of the beach.
Yes, your tax bill is based in part on what you paid for the property. But the sand itself is not an issue, as the sand does nothing that a home facing the Gulf doesn't already do - except make elitists believe the beach is theirs and theirs alone. Your assessment is based on linear width "front feet" of the bluff.
I believe you are too far out over your skis.
You evidently know more than most that intent in real property is expressed in deed restrictions, easements, covenants, dedications, all which are legally recorded. It is not expressed in emotional pleadings, moral judgement, cocktail party antidotes, or how long you've lived here, or who your parent's knew.
Please post a deed which contains the language to support your claim.
Shannon