The greatest champions out of lane to counter Ashe include Naafiri, Gragas, and Wukong. These are all good at countering Ashe with win rates over 53%. Even if these Ashe counter picks are not picked in your lane, it's not a good idea to play her into any of these matchups. They will very likely beat Ashe.
Conversely, if the opposite team picks either Rumble or Shaco, you should seriously think about choosing her, as she easily dominates these champs with win rates over 56% against both ofthem.