Okay, as for now I got two cool ideas. Imo one is better than the other but I will post both anyways just for the lols. I hope you will like them haha.
Consecutive: (The better one of the two imo) Use a team consists of Rhyhorn (#111), Corsola (#222), Swablu (#333), Gabite (#444), Darmanitan (#555) and Vivillon (#666)
I don't think this is too dependent on luck. You got a very powerful wallbreaker (Darmanitan), a sweeper (Vivillon) and Rhyhorn, Corsola and Gabite got a very decent bulk.
I think it does encourage players to do thing they haven't done before like trying to win mostly with non-viable OU Pokémon that have their niches.
And I think it does encourage creativity because you gotta take into consideration that most Pokémon aren't too viable (but as stated before, have their niches) but I don't think you can only use a single strategy.
Quite Alphabetic: Use a team with Pokémon in an alphabetic order (examples: Ambipom, Blastoise, Cacturne, Delphox, Eelektross and Frogadier or Magmar, Nidoking, Octillery, Pyroar, Quagsire, Raikou and etc.)
It's not too dependent on luck because you can build a nice team, pretty sure no one have ever thought of making a team like this so it's pretty creative and I don't think you have to use a specific strategy in battle.