Anchoring discussions are always interesting. Everyone has strong (and different) opinions. Rather than saying what is best for you, I will simply recite my experience.
I have been cruising these waters for about 40 years. First in a 24 ft. boat, then a 28 ft., and now in a 39 ft. ketch. My experience covers LI South shore, LI Sound, and the coast from LI to Maine. I have also been south.
The anchorages and summer weather in this area are pretty much ideal. The anchorages are well described in cruising guides and you can always find one in moderate depths with good holding (usually moderately firm mud/clay). The summer weather is almost always moderate, thunderstorms being the worst but they usually blow over quickly.
I have used
Danforth-type
anchors with rope/chain
rode as well as plows with all chain. They have all worked well if I was sufficiently careful in setting them. Here technique is probably more important than equipment.
One problem you might have is that some anchorages are crowded. Here the kellet can be useful since it allows you to shorten your scope for moderate weather. Just remember that once the
rode straightens out you are back to the basic scope and the kellet does no good. However the weather forcasts for this area are excellent and you know when it might blow hard.