EnumeratedDestroy.cs

public class EnumeratedDestroy : MonoBehaviour
{
    private List<GameObject> shallowList;
    private List<List<GameObject>> masterList;
 
    void Start ()
    {
        shallowList = new List<GameObject>();
        masterList = new List<List<GameObject>>();
 
        PopulateLists(transform, 0);
        for (int i = masterList.Count - 1; i >= 0; i--)// fill from deepest to shallowest
        {
            shallowList.AddRange(masterList[i]);
        }
        StartCoroutine(Delete(shallowList));
    }
 
    private void PopulateLists(Transform parent, int depth) 
    {
        for (int i = 0; i < masterList.Count - 1; i++)
        {
            if (depth > masterList.Count-1)//initialize new lists for each depth        
            {
                List<GameObject> list = new List<GameObject>();
                masterList.Add(list);
            }
            masterList[depth].Add(parent.GetChild(i).gameObject);
 
            //recurse into next layer
            if (parent.GetChild(i).childCount != 0)
            {
                PopulateLists(parent.GetChild(i), depth + 1);
            }
        }
    }
 
    //call once
    private IEnumerator Delete(List<GameObject> shallowList)
    {
        for (int i = 0; i < shallowList.Count; i++ )
        {
            Destroy(shallowList[i]);
            yield return new WaitForSeconds(0);
        } 
        Destroy(this.gameObject);
    }
}