Word for walking while in stunned thought
Dragged or shuffled, as each indicates that the person is just about moving his legs.
If you wish to be even more abstract, a-la Cormack McCarthy (whose forms of preposition can consist of "sat in" rather than "upon" the floor,) floated, hovered or crawled could add fluorescent spice to an otherwise conventional paragraph.
My final word is, to use a word that could be interpreted as movement, but barely means walking. In times of stress, one can experience simply appearing, or dragging oneself. Of course, the latter is two words.
Sometimes a single verb does not suffice, and one must break convention by inventing new words.
Good question, and this is my first reply.
Definitions of these words are easily obtainable, though I recommend the Oxford dictionary.
Drifted
- To be carried along by currents of air or water: a balloon drifting eastward; as the wreckage drifted toward shore.
- To proceed or move unhurriedly or aimlessly: drifting among the party guests; a day laborer, drifting from town to town.
- To live or behave without a clear purpose or goal: drifted through his college years unable to decide on a career.
- To have no continuing focus; stray: My attention drifted during the boring presentation.
In all of the above senses, but perhaps most of all the first: to be moved not by one's own will, but through the buffeting of external forces.
Source: http://www.thefreedictionary.com/drifted