Red Chiffon Dress Coverage Alterations

My evening dress is a vibrant red chiffon piece that needs a little extra modesty. I’d like the upper bodice to come up higher, but I want it done by extending the existing fabric so everything remains seamless—no obvious add-ons... (Budget: $10 - $30 USD, Jobs: Fashion Consulting, Fashion Design, Garment Construction, Pattern Making, Sewing)