public void SetMap( 
   Map map
)

{
  //Change the map associated with a map frame
  //Find a map frame element from a layout by the map frame's element name
  MapFrame mfrm = layout.FindElement("Map Frame") as MapFrame;

  //Note: Must be on QueuedTask.Run
  //Reference map from the project item 
  Map myMap = Project.Current.GetItems<MapProjectItem>().FirstOrDefault(m => m.Name.Equals("Map1")).GetMap();

  //Set the map to the map frame
  mfrm.SetMap(map);
}