About this time of the year the Hickory shad will be running at Indian River Inlet. Small blues will be mixed in. Large shad darts with spinning gear work well. Doubles are common. You can probably check some websites to be sure they are running strong. Stripers can be caught on large jigs and or live eels. The jetty rocks are slick as snot when wet and you need steel spikes to negotiate them.
As was mentioned, about dark you can catch 1-5 pound sharks from the surf. At Ocean City Assateague, there are blues and stripers. You need to know where the deep spots are as the fish move to and through them.
If you like clamming once the water gets warmer there are a lot of clams in the backside in the marshes. Just wade around barefooted until you feel them and then reach down and pull them out and put them in your bucket. If you find a crab just lift your foot up and pull them off your toe.
There is a day use charge at Assateague and if you want to go off road you have to have four wheel drive, a shovel and stuff and a permit. The mosquitoes are larger than the seagulls and more numerous.