Since I do not have Darkmoon Tonk and Lil' Bling I had to find another strategy. Based on the strategy above and this comment on wowhead http://www.wowhead.com/npc=128013/bucky#comments:id=2520324 I came up with Ion Starlett (1,1,1), Darkmoon Zeppelin (1,1,2) and Cogblade Raptor(2,2,1)
Starlett: Pass (swaped with Zeppelin)
Zeppelin: Bomb, Missile, Decoy, Missile, Bomb, Missile (dies with third swap)
Raptor: Screech, Wounds, Batter until Bucky is dead.
I tried this several times and got Bucky always killed without using the Starlett again but in case you are very unlucky it should be able to kill Bucky with Powerball.