Canopy,
I see your plan view, but I am having trouble understanding the frame you intend. As of right now you have two different pitches. Have you thought about creating an equal pitch on all four roof planes, thereby shortening your ridge. It make the work easier especially and then lets your hip land on a building corner as opposed to some point on the plate. In your plan that you have right know what is holding you hip up? Am I missing something?
Try placing your hips 45 degrees to your eaves and see what happens.