Chase Lake in Fulton County is a remote 70 acre lake that can be accessed via Pinnacle Road in Bleecker, which is between Caroga Lake and Bensen on County Route 125. It is a 2.5 mile back along a red-blazed trail, with a yellow-spur to the tent site on the southern end of the lake.
https://andyarthur.org/shaker-mountain
https://www.dec.ny.gov/lands/106097.html
This took a few tries to get done right, due to issues with not having enough skin height. Eventually I got it and the results are much better.
Chase Lake Trail is a 5.3 mile moderately trafficked out and back trail located near Gloversville, New York that features a lake and is rated as moderate.
Holmes Lake is a 4.2 mile lightly trafficked out and back trail located near Bleecker.
Mixing and matching the old on this map.
The Adirondack Park may have remote wildernesses, but you still never that far from human residences and businesses. Only a few remote corners of state wilderness areas in the Adirondacks are more then 1 mile from a building, even fewer areas are more then 2 or 3 miles from a building.
Data Source: Microsoft Building Footprints.