I took a solo retreat last weekend to focus on writing. It's been a couple of years since I did this, and to be perfectly honest it was a mixed bag.
Walking alone can be a meditative practice. Walking with children leads to interiority by a different path. My love for walking hearkens back to my days as a pilgrim, when I traversed Spain and, later, France on the Camino de Santiago. On pilgrimage, you follow the path, absorbing the folds of the land in your bones as the body wears out, and mind-chatter stills to a plain - flat, expansive, rounding at the edges.