Try crease flies in the surf in tan and white at St George about 100 yards from the cut. If you have a boat, we had a ball with lady fish on the bay side of the cut where the water color blends on incoming tide. Heavy shock tippet and be prepared to lose some flies but the acrobatics are fun.
Good wading behind the church east of the bridge and out at the youth camp ramp. We saw some people wading near the airport when we were working from a flats boat. Not sure how to get there from the island.
I have been told the east end is good for larger fish and you can wade by driving through the state park. Never done that but plan to on my next trip.
Enjoy, I love that island.