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The Gulf has far more to offer than any quarry.
You are better off not doing the panhandle now unless you are diving dry or 7mm wetsuit with hooded vest and capable of handling cold. Fort Lauderdale area is supposed to have shore diving and I have listed links to this information below. Also the FL keys have a lot of boat diving that can be done.
You can do the shallow water dive, but for me, the best dive is to enter over the jetties (70-72'), then swim around the point (right side if you are looking at the jetties from the beach) and exit on the beach.
Can you explain entering over the Jetties? So do you mean entering around Buoy #5 and swimming around the point and ending up on the beach?
Convenience and quality... I'd be bored as hell if I dove conveniently.