You might be stopped on interstates but you’d surely have no issue if you cross the border on a back road.
CAUGHT YOU, Solomon Tobias Jehosaphat Poindexter II!
In all seriousness. My understanding is that you are not prohibited from going to the state, but you have to let them know where you will be staying and promising a ‘self-quarantine’... which seems Saranac Lake is ideally suited for....
Change vehicles three times. 3rd can lead to an abandoned fire road and you can hike northeast on foot about twenty miles. Then someone will signal you by using a hand mirror to reflect sunlight to spell out "safe here."
Get out your Piere Delecto handlebar moustache and plain mask. Act like a native New Yorker to blend in (rude, nasty, selfish, ambitious to get what you want.)
Enjoy.