In my limited encounters with standard armies against HA and foot archer armies, I simply sent the entire army at a charge at the enemy to give them minimal time to fire and to close the range. Perhaps this is still the most suitable tactic. Perhaps even more effective for you, because when you chase them trying to close to melee, they are firing into your front while you are firing into their backs. And once you catch them (one HA caught will make the entire unit turn and fight), your heavy cavalry can break them. That, or a simple concentration of horse archers on the same unit in charge.