There are several historical hints to the location of the Ark. Many of them are contradictory. The problem isn't so much finding historical evidence that points to possible current locations of the Ark, it's that we have no way of determining which, if any, are valid, true, and reliable.
For example, ChristianAnswers.Net gives several possible locations. The Church of Ethiopia claims to have it. This is backed up by the writings of Abu Salih the Armenian in the late 1100s. WND.com has a page indicating it might be beneath the temple Mount, and claims "compelling evidence" points to the theory.
However, the introductory statement to the article at WND.com pretty much backs up what my original paragraph claims.
It would almost inarguably be the greatest archaeological
find in history.
Movies have been made about it.
Voluminous books have explored its whereabouts.
Those voluminous books are filled with historical and archaeological hints to the whereabouts. But, to this day, if anyone truly knows where it is, they sure aren't offering proof. Until the actual Ark is revealed, I doubt the world at large will know where it is, regardless of how many hints exist. The volume of hints actually helps to ensure that it remains safe, hidden, as it lays all sorts of false trails for those searching for it.