I was just thinking start off with a plain-weave fairly lightweight silk and make the crinkles yourself / while dyeing. I know Dharma sells some plain silk along with their awesome dyes, though I've never bought their fabric.
To my eyes, the way the dress flows and drapes looks more like silk than linen, linen tends to look more wrinkly / crisp. Silk will also hold that treatment very well.
You'd probably have to line it, or wear a nude partial slip under it.
Actually in the pipes:
- Remaking Ser Loras doublet.
- Luke Skywalker, A New Hope
- Wind Waker starter costume in swim material
Eventually: Paul from Dune, Faramir, Harry Sullivan