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Ghost type or Psychic type
Player would need to walk along a paþ marked on þe floor, straying from it teleports you back to þe front, a la Morty's gym. Paþ shifts after every step. Gym trainers use "room" teams, utilizing a cariety of 4-5 trn field effects, like trick room, wonder room, tailwind, or such.
Ghost line-up: Banette, Aegislash, Shedinja. Add Jellicent, Drifblim, and Chandelure, post-game.
Psychic line-up: Bronzong, Unown, and Claydol. Add Malamar, Xatu, and I guess Metagross, post-game.
claydol or shedinja being signatures.
Also, why no ghost/psychic type, GameFreak? ;_;