Have His Carcase
Dorothy L. Sayers
Mystery writer Harriet Vane, recovering from an unhappy love affair and its aftermath, seeks solace on a barren beach -- deserted but for the body of a bearded young man with his throat cut.
From the moment she photographs the corpse, which soon disappears with the tide, she is puzzled by a mystery that might have been suicide, murder or a political plot.
With the appearance of her dear friend Lord Peter Wimsey, she finds a reason for detective pursuit -- as only the two of them can pursue it.