Kcmomto2, what a great block. I have two possible suggestions. I love paper piecing for bias sides. Not sure how well this would lend itself to that though. Second suggestion is STARCH. I'd starch (Best Press or sizing would be my choice) the pieces till they'd almost stand up by themselves. Spray starch, let dry. Don't iron, just put the iron on the fabric and press.
Good luck, it's going to be OK and beautiful.