There are a lot of ways..I'll try to put a few out there, least from my experience.
I tend to surf-cast a lot, in fact mainly it is the only type of salt-water fishing I do. Have a nice 10+ foot pole able to cast up to 8 ounces etc etc. I like to use Pogy and/or squid cut baits but then again I also go after Scup, Fluke, Stripers and such so the wide variety of what I can catch with these two simple and cheap baits makes me happy.
Pogy go for about 1.50 each at a bait store fresh and will give a lot of cut bait for each pogy . Usually 1.50 or so for 3 frozen..but they tend to be a bit more squishy frozen. Squid is usually 3.00 per pound/frozen. Again why I said cheap..6 bucks usually covers me a weekend of surf-casting...
I like to use fish-finder rigs. You can look this up for more in depth descriptions but in a nutshell:
Rig your weight to allow the mainline to run freely through it. I tie a swivel at the end of the line. I will snell a hook and a bit back from that I place a float to allow the hook to rise from the bottom and kinda free float around at various depths, then tie that off to whatever connector. Usually I would say 12-18inch length in total is what I use. Like I said take a look on Yahoo for "fish-finder rig" to get better idea.
Apparently Tube and worm rig is pretty hot in RI, least the Charleston(sp?) area if what I have been reading around is accurate, right now.
So what is this? and I quote:
The tube is actually surgical tubing cut in lengths ranging from 12 to 36 inches. Most anglers use tubes in the 12 to 24-inch range. The actual tube is rigged with a swivel on top, connected to wire that runs through the tube, which is connected to a hook that juts out on the backside of the tube.
Anglers will then "tip" the hook with a piece or whole sandworm. It is then trolled at very slow speeds.
from
http://www.canoekayak.com/kayak-fishing/tube/
Outside of that all sorts of things from live eels, large spoons, bass lures etc etc have been known to work. The one great thing about saltwater is, most of these fish are just hungry and if anything looks/smells or even slightly resembles food you will get something at some point.