I have not fished LI sound in 20+ years but what works works just about everyplace. If you are looking for larger bass and big blues I would try a large plastic deep diver like: (on braid or wire(if you have to)
http://www.mannsbait.com/TopPerforme...BlueWater.html
These stand up to the rigors of big bluefish.
If smaller fish (or lighter tackle is preferred) then try the yozuri deep divers.
http://www.charkbait.com/cs/csc4.htm
These work well for everything I found. Last season I caught Bass, Blues Albies, Bones, Spanish mac, King Mac and a football tuna on the same day on the same plug!
Some of the custom wood plugs that are made by the guys here will also work well for larger bass. I have had great success trolling a big Pike on wire too. It out-fished everything else on some days. Don't forget the almighty tube and the buck tail.
Good luck.