Jon, someone here a while back was singing the praises of a little gimmie that clamps to the edge of the table and supports the neck of your instrument. (Of course, if the clod knocks the table over, this won't help). I can't recall the name offhand, either. I think it was someone from UK or the continent that first mentioned it.
Perhaps others will remember, if you're interested.
Blessings,
Barbara