/3/ - 3DCG

I have two objects here, a cloak and a body. I have a collision modifier set on both. It works for the most part but when I pose the character the hood will start to clip through the body and I'm not sure why but it looks fine when its in the rest pose. How do I resolve this?

I've already tried increasing the thickness outer on the body object, checking and unchecking double-sided, and increasing the objects collision distance on the cloaks cloth modifier. Even tried adding a collision modifier to the cloak on top of the cloth modifier and it did nothing.