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Grass, probably. Gym position wouldn't be higher than like, the 5th. Probably the 4th gym.
The entire puzzle/gimmick would effectively be an entire conservatory designed to house rare pokemon, with the whole thing being to learn about the species inside of it, and then come back near the end with a quiz. battling trainers would give hints to what you would get.
Badge would probably be the Shoot badge (for photography shoot and bamboo shoot), with the TM being for Giga Drain. Team would be Picrel for the "rematch" fight. Ace would be Shiinotic.