MJR10:

If just a chance of "filling a tag" is your only requirement, and a guaranteed trophy kill is not an absolute, you can have a good hunt and a good time for far less than $3000.00 plus additional fees for a certain type of kill.

You have time to hit upon some of the guys here for an invite to hunt an area, with a "bring your own food and sleep in the barn" provision. That option can open to you other good states that are much closer to NY.