Seriously, you MIGHT be better off driving to Canada... Ottawa to be specific... for real.
On the Army Post, Ft Drum, there is a USO building that opens for lunch around 11:30. They have a table right next to a piano and dinner table, but there is enough room to practice some basic stuff... IF and a big IF you can get anyone better than a recreational level well under USATT 1000 level player. I knew one unrated guy who played tennis and could carry some stuff over to TT, he would rate out at 1300-1600 depending on how opponents would play. He is likely still there, if he isn't deployed somewhere.
There is a club in Syracuse that meets once a week (Passtime Athletic Club) (Meets Sundays around 2 or 3 PM I forget) (There is a guy on MyTT who plays there, and member ARIEL knows this place), ditto for Utica area, and the next full time club is Rochester, which is more than 2 hrs driving away.
The TT action up there is pretty scarce, unless you have a decent level friend and a table... in such a case nothing is impossible.