WordNet records no synonym and no antonym for snipe hunt. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
an elaborate practical joke in which the unsuspecting victim hunts a snipe and is typically left in the dark holding a bag and waiting for the snipe to run into it
“in the South a snipe hunt is practically a rite of passage”
Synonyms, antonyms and the broader and narrower relations for snipe hunt come from Princeton University’s WordNet. Full sources and licences.