As per the previous post, I decided to use the cotton warp left over from the ikat workshop. I also found another black cotton warp from a previous project of the same yarn type. What luck!
Then I got thinking, what about a double weave. I delibrated between a double weave where I can form folds on the upper layer and possibly with a twill weave structure and a plain weave on the bottom layer or this interlocking structure as per the diagram below. (from the book on Doubleweave by Ursina Ann-Grishott)