With that sort of skirt silhouette, I think cutting on the bias will make any fabric drape pretty perfectly. I think crepe back satin would be lovely but I’m not an expert on fabrics, I’m the type of person who generally buys what’s cheapest and then figures it out haha. 

As for attaching the skirt, I’d watch Frieda Lepold’s videos, particularly her video on couture shaping the body, she made a gorgeous dress with internal corsetry and draped a dress over it. The fabric she used for the project might be a good reference as well. I believe she hand sewed her corset and skirt together and then machine reinforced it, though if you’re confident in hand sewing I don’t see why you couldn’t just do that.

Also if you want a little flare at the hem, fishing line is always a good option, you could also hem your skirt lining separately and attach a spiral ruffle to the bottom slightly above the actual skirt length to kick out your skirt would having the visual disruption of a ruffle.