I'll second Dave w on the use of flutter spoons. Shad darts are yesterday's news and are grossly out fished by flutter spoons, at least on the Delaware river.
I do agree with afish in taking a spinning rod. It's okay, really it is. Tie on a rapala SR7 with the hooks removed. Put barrel swivels on the tail split ring and add a split ring and swivel to the line tie. Tie the SR7 to main line and tie a 3' 6lb leader from the tail ring to the flutter spoon.
The difficulty in fishing for shad is locating them. Catching them is easy but being in the right spot is the trick. Been out plenty times where the boat next to me is catching them left and right and your not catching any. Also been the boat catching them while others watch. They do not come up in wide wave after wide wave. They come up in pods and they seemingly come up in a single file like ducks in a row. You can catch 10 in 15 minutes and then sit there doing nothing for an hour and then catch them in another 10 minute window. When they are in the thick of the run you can wear your arms out catching them one after another after another. It actually becomes super crazy with multiple hook ups and trying to clear the other lines out of the way and then resetting them again.
I'll stick to the Delaware where it's easier simply because there's less water, easy access and no dams. You can't not catch them in the Delaware in April but I hope you guys are successful, catch the meat of the run and have a blast.