There are only 3 ways to discard Holon Circle in this format:
1) Attack. The attack will fail, and Holon Circle will be discarded.
2) Windstorm. You can choose a tool attached to one of your opponent's monsters as well. You can even discard your own Holon Circle with it, which may be useful if you need to attack.
3) Crush Chance. EX: CG Tauros is a good all-purpose card, and its PokéPower rocks. It can search for basics, and it can thrash gyms. It doesn't work when Cessation Crystal is in effect, though. Still, a great card for your deck if you want to cut down on countergyms.