Let's reiterate what we've got so far, just so it sticks: The United States had a 200-person nuclear-powered outpost located beneath the ice of the North Pole, where one of their primary objectives was to drill as deep into the unforgiving, ancient ice as possible. If that's not the start to one hell of a horror movie, we don't know what is.
After the military takeover, Camp Century was converted into a giant ice-bound missile silo. The goal was to store approximately 600 nuclear missiles in the base, giving the U.S. a nice, neighborly little nuclear bungalow right next to Soviet Russia. Luckily for Russia (and the unmutated faces of your loved ones), technical problems led to the whole mission being scrapped. Because maintaining the tunnels was a constant chore (they had to remove 120 tons of ice every month just to stay uncrushed), the whole site collapsed within the decade.
US Army Defensetech
It's fit only for Hobbits now.
So no, you can't go there and play the world's most awesome game of hide and seek. This was all just a big cocktease, and we're really sorry.