Since Shedinja has 1 HP, a Sandstorm or a Hailstorm will KO Shedinja within 1 turn. In other words, if you encounter a Shedinja, your Tyranitar or Abomasnow don't even have to do anything.
Otherwise, you can simply use 1 offensive fire, flying, rock, ghost, or dark move.
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I'll bet you can using a protein from a pokemart , lilycove's department store to the north of the city or the market to the south side of the city.
ice and dragon
Touch a man...
spiritomb, because it has no weaknesses
Water, Fire, Fighting and Ground.