The first wilderness part of the Northville Placid Trail is remarkably steep for this part of Adirondacks, climbing 700 feet over a ridge on the first mile, then dropping down 100 feet to Mud Lake over a half mile, then over the next four miles you lose about 550 feet elevation until you reach West Stoney Creek and the lean-to.
https://andyarthur.org/shaker-mountain
https://www.dec.ny.gov/lands/100874.html
This map shows the Northville - Placid Trail from where it leaves the road in Benson up to the remote Canary Pond in the Shaker Mountain Wild Forest.
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
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.