OK, I know this is an old topic, but I might as well reply anyway
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Swellows are good for Cool contests because you have a lot of possible moveset options, some of which are also useful for battle. The three options I came up with are:
option 1: Peck, Focus Energy, Double Team, Quick Attack, Peck (no TMs needed).
option 2: Peck, Double Team, Quick Attack, Aerial Ace, Peck.
Aerial Ace gives 6 points if you are the first to go in that round.
option 3: Peck, Double Team, Quick Attack, Peck, Hyper Beam.
The problem with this one is that Hyper Beam is best performed if you go last, because it jams the other pkmn that have already been - and having used Quick Attack in round 3, you might still be the first to go come round 5. But worth a try if you like taking risks
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Note that Double Team --> Agility and Double Team --> Quick Attack are both Cool combos. Doing moveset combos gets you a LOT more hearts per round than the move's description would suggest.
In digging through my files I also found the terrifying Beauty moveset for Graveler, Golem or Weezing - anyone wanna see?