Plot bunny: Doctor Who/Hamlet crossover

[beatrice_otter]

This bunny is kind of vague, but it intrigues me:

The ghost of Hamlet's father is some kind of non-corporeal alien that feeds off of negative emotions, trying to manipulate events in Denmark to make itself a banquet.  The Doctor is there to investigate, and in the process of saving the day manages to both save Ophelia from going crazy due to the alien's influences, and cut through Hamlet's grief-and-rage-fuelled egotistical funk.  The Doctor and Horatio get along quite well, saving the day together while Hamlet's off soliloquizing.