I enjoy the idea and would love to read it, but a lot of your explanation seems contradictory to me. A "normal" man or woman is one who conforms to societal gender roles.

"I'd like to explore the notion that our traditional courtship roles are one of the most artificially constructed aspect of our gender norms."

Latching on to that, it seems your plan is to stick as closely to the other artificial definitions of "feminine" and "masculine" as possible while still overturning the courtship rituals? Thus proving that even within society's system of gender those definitions are arbitrary?