Hey, dun' feel bad, I'm a C-cup too. Actually C-D. Yeah, binding can hurt for us girls, but it shouldn't make it harder to breath if you're breathing properly. When you breath, remember, your chest shouldn't rise and fall! Your lower abdomin should expand when you inhale and contract when you exhale. Most people don't know that about breathing unless they have musical training, but if you didn't know before, you do now.
If you remember this, it also makes binding more comfortable for longer periods of time. (Although it's always nice to rip bandages off and be able to stretch)
Trying is the first step to failure.