Welcome to my world!
I live on the Gulf Coast (AL) and fish the beach - including FL - often. I was catching pomps at a beach east of Destin last week.
We use mostly one fly - a Clouser. Our variation (Called Chuck's Beach Clouser or CBC for short) is tying it with artifical fibers like Supreme Hair or Steve Farrar Blend (my favorite). Our two main color combos are chartruese / whtie and olive/white. These will catch everything that swims the beaches. The other modification is to lightly coat the head & eyes with epoxy or something. Abrasion with the sand will tear up Deer Hair and thread and destroy your fly almost as fast as the fish.
Our favorite rod is a 10' 7wt, this helps us get the line out of the water and keep a bit more line in the air - big help when you are waist deep. We also use intermediate line most with intermediate tip second, then floating lines. Intermediate line will get down thru the waves and help you stay in contact with your fly. We will go to a bigger rod if the wind demands it. A great day is when the 6wt is called for!
In June there are a LOT of Ladyfish on the beach - fun to catch but not much else. There will also be redfish, speckled trout, bluefish, spanish and pompano (POMPS our target). Ladies are very tough on flies and leaders. We use at least 20# fluoro, but carry 30 & 40# with us in case of spanish and blues.
The above link shows a couple of pomps we caught and the CBC is in the pic.
Early morning should give you on off-shore breeze and the calmest conditions. Look for fish right against the shore - cast parallel to the beach some. At low tide, getting on the first sand bar and casting to the outside slope will give you an excellent shot at pomps. Look for cuts and wash-outs along the beach. The more "structure" the more fish; straight, smooth beaches are less productive generally.
Final word: KEEP YOUR HEAD ON A SWIVEL! There are lots of sharks and rays in the surf in June, and probably jellies. I find that most of the sharks are very spooky and don't come to close BUT I don't trust them. We have never had a bad experience, but we have had a lot of close encounters