From the right range forward buttsmash can counter almost anything Chun does, including her Super if you time it right. But if she fakes you out and you whiff it you will get punished.
I always do the Ochio in the direction that Honda will be facing AFTER the cross-up. That has always worked for me. Kind of like if someone crosses you up while your charging for a headbutt in one direction if you flip your joystick to the other side at the same time Honda turns around (goes from facing left to facing right for example), then you’ll keep your charge.
And you should always negative edge the Ochio, I now almost always negative edge all three punch buttons then release them one after the other (kinda like negative edge and piano at the same time, thanks for that tip Ultradavid!). That way you’ll just end up blocking if you mess up or they reversal.