The lease is held by Queen's Jewells LLC, which is Brisben et al. This was originally the Fisher lease holding until a year or so back. It extends northward as an exploratory lease to the vicinity of Melbourne Beach, where, at some time in the recent past, another exploratory lease begins which stretched up to Cocoa Beach. That one was held by Rex Stocker. Don't know if it is still active, nor if you would be obstructed from water hunting in it.
You can't take a detector into the Canaveral National Seashore.
From Edgewater northward to Matanzas and beyond, I have no idea.