At the Quilt Expo there was a vendor with only silk Dupioni fabric and quilts. (Oh my gosh...just beautiful!). The quilts had cotton backings. And the thread looked like cotton or polyester. I did ask her about using silk and she said she stuck to simple patterns and tried not to overhandle the pieces because of the ravelling. She also said she didn't use stabilizer.
I bought some of her silk but I haven't tried it yet.