Now that looks scarey to me. Wouldn't that be an alignment nightmare? Looking longer at it though Bear, I think you have the right idea. Looks almost impossible to get proper angles without paper piecing though. And I don't know how to paper piece. But I think for this project I would learn real quick. I think it would just be far easier...
How can you cut the pieces out already if you're not sure how they're going to go together? That might have been a mistake. You may need to cut oversize and trim when you discover the method you're going to use.