In fact, I believe the park exceeds the land area of eight U.S. states, including every New England state, New Jersey, Delaware, and Hawaii.
I believe you are correct on all of your facts.
There is an area to the west outside of the Adirondack park called the Tug Hill Plateau. It is south of Watertown and north northeast of Syracuse. It is about 30 miles across with no roads. One of my college roommates grew up on the edge of it. It is due east of Lake Ontario. It gets more lake effect snow than any other place in the east.
Most people do not realize how big NY state is.
On second thought, Maine is larger than the Adirondack Park.
Adirondack State Park is the biggest park in the lower 48 states. About the size of Vermont.