Mike Sweeney,
The answer is Knowllwood CC
Fenway has a tiny green adjacent to its 18th green, which is the only remnant of a women's nine-hole course. It was referred to as the Bijou Course. Unfortunately, the addition of tennis courts, a driving range and a parking lot led to its demise. Very sad
In response to SBR, who asked about Sunningdale, it could be on the list. The routing is Raynor (although the Redan and Biarritz were eliminated in 1928-1930 when a "Tillinghast Plan" was implemented), the course is maintained in excellent condition and it gets very liitle play. The land is very strong but greens have shrunk and some lack contour relative to others that have abundent movement. Bunkers also have a look that is too modern. Club would benefit from having a leadership committed to their course living up to its potential.
In the interest of full disclosure, I am (in theory) one of those leaders.
My list in Westchester county:
1) Sunningdale (I have to!)
2) Fenway
3) WFW
4) WFE
5) Quaker Ridge
6) Apawamis
7) Century
Westchester (west)
9) WyKagyl
10) Hudson Nat'l
A few remarks on Fenway.
Best assortment of par-3 holes (140 yds, 235, 185-uphill, 185-downhill)
a drivable par-4, a diabolical 305 yd par-4 with a postage stamp green. Good mixture of mid-length par-4s, god mix of long 4s, 2 excellent risk/reward 5s.
Also, absolutely best collection of undisturbed Tillinghast greens (short of or comparable to WFW).