In Shimal there are two archeological sites: The ruins of the palace of the queen of Sheeba on a hill above Shimal can be a nice location for a sunset view. You can reach the palace using the stairs that seem like an unfinished project: The stairs start and end just somewhere at the hill, so you will have to make the start and end of the way on your own: Especially on the top there is no real path, but it not too difficult to climb the last few meters up to the palace.
The Umm an-Nar Tomb is right besides the road and easy accessible. It is an archeological site and dates back more than 4000 years.
At both sites there are of course only a few stones to see. But still these places give testimony to the history of the region. For more information see the following flyers from RAK Heritage: