You might luck into a deer if your good at recognizing the escape routes to the bordering private lands.
But, the place you'll have the most success is meeting and talking to other hunters from across the usa.
The NE G&P advertises all over the country that we have unlimited permits, and "Lots of Public Land". It works but is pretty disingenuous. There isn't a public parcel in NE that doesn't get pounded.
Used to be it only got over run during rifle season, but now it starts sept 1 and goes till black powder season is over.
The Chamber of commerce types will be happy to take your money, but they can't grasp the irreplaceable value of your "Time Off".