Need to re-design a pizza slice triangle

Currently manufacture and sell two types of pizza slice packages. The smaller type is a clam shell version and can be seen in this link:

http://www.albanypackaging.com/pizza-slice-triangles.html (picture on the left)

The other type is a custom large style for another customer. The size cannot be done in the clam-shell type like our smaller type but the customer is finding it hard to put together the box in its current formation. I have attached pictures of both styles.

I'd like to have you come up with a better design for the large style. I can also send over dyeline PDF files.