No palm exists to fit those conditions. If a palm's roots totally freeze, and it will definitely happen if kept in a pot down to 10 degrees, then it can not draw water up through the roots, even though the sun and wind will continue to dry out he leaves.

If planted in the ground, however, you have a few options including: trachycarpus, rhapidophyllum hystrix, sabal minor, and sabal louisiana.

You could try to grow Trachys or pindos (or other zone 7b/8 palms) in pots, but then move them to a cool garage during cold-weather periods (whenever nights get into the 20s).

Why not grow a needle palm in the ground? They can handle really chilly temps. They are also good for a container. You can move it in the garage for the winter or put it by a southern window. They love it!

I am guessing you don't have a garage or ground to plant a palm in living in N.Y. and maybe just a narrow opening where sun gets through,assuming that a container is the only way you have to grow a palm,you may be able to get away with a large container if you had some way of keeping the soil from freezing or better yet even keeping the soil "warm" with some type of heat,most likely heating cables of some kind as it would take significant heat to keep a large mass of soil from freezing in cold weather,just my 2 cents good luck and let us know what you come up with.