Cummer Gardens by The beautiful St John's River, tranquil. If not a member, entry is free Tuesdays from Just before sunset is beautiful, peaceful to sit by the reflection pools. The gardens close earlier then the museum.
Florida fossils and permit links. good info on places like Mickler Landing (south of Jax), Caspersen Beach (south of Venice airport), Gardner on the Peace River and Shell Creek (off south of Bartow) and tips on DIY gear.