If you find fish on big schools of bunker you will undoubtedly encounter the "too much bait" scenario. Rather than a typical deceiver you may want to carry a few Mushmouth flies which can be tied to spec but will also stand out in a crowd.
If you are going to stay within the refuge a deep eel works about as well as anything.
You may want to consider a trip to the bayside where the large and angry bluefish are abundant. Lots of different places to fish if you are based in Chatham - the refuge is one small part of the bigger picture.