NYC to Boston is a pretty wide area, considering that there are several ways you can make the journey, like 95 the whole way, 95/91/84/90, or one of the parkways to 84 to 90, etc...and variations in between involving mohegan sun, etc.
All of the above have been good mentions, although Red Tail is more towards NH than RI or CT.
I was going to throw in Wintonbury Hills in the Hartford area, Norwich GC near Mohegan Sun, Newport National (about 30 mi. out of the way, but do-able). I'm not as well-versed about the Westchester/Greenwich area, but 90% or more are private.
I will NOT endorse Great River.