hey pkychg,
With dead shrimp, you're likely to catch some black drum, hard heads, and red drum. I personally recommend some live finger mullet. With that you can catch pretty much everything like red drum, speckled trout, and flounder. If you have a casting net net, take of advantage of it, if not, go to your nearest live bait shop.
With the water warming up, you should catch a little bit of everything, depending where you are fishing at. When the water is above 68 degrees is real good for fishing. Last night I checked the water temps and it looks like the water ARE starting to warm pretty darn good.
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Man may defy him...but Great and Good is our God!!!