Let me get this straight. You want a female skater to do a solo dance in a full-length, traditional style costume, geisha or otherwise, but begin with a man hoisting her in the air as an opening pose? The first word that pops into my head is "Why?", since a Japanese woman's costume and figure skating just don't suit each other. Their dance movements on the floor are very small and neat with short steps and almost no bend to the knees. If your skater tries to stroke, she's going to be catching her picks or the heels of her blades in her kimono hem, and face-plant. The silhouette in heavier fabric means it will bunch up around her hips as she moves, and won't flare out in a spin. And if the kimono is the authentic wrap style, then every time she does any kind of spiral move, she's going to be flashing the audience.
If you want her skating with a partner, then at least try for a very simple ice dance program, not pairs. How will she jump in that costume? More to the point, if she jumps dressed like that, she'll look................I'm trying to come up with a better word than "silly", but am drawing a blank. The whole geisha look is supposed to be a modest, controlled demeanour, with small movements, tiny steps, arms kept close to the body. No athleticism, no swooping or flinging out the arms, no leg extension.
However, if you insist, could you try one of those harness thingies used in ice shows for skaters to float around overhead and then be lowered to the ice where they unhook and start to skate? Just for her? A partnered lift is going to have to be standing still, because that fabric is going to be covering his face and blinding him, rather like the actor or dancer who plays the back end of a horse on stage. Very dangerous for both of them. A horizontal position for her like a platter or star would be even worse. He'd be fighting his way out of it as he set her down again, like a camper emerging from a small tent.
Any of the vertical position basic lifts would probably get her in the air and back down, standing still. They wouldn't look attractive (what would he be wearing, by the way?) but they're doable. And she can't be carrying a fan while this is going on. Somebody's going to get an eye poked out.
Can I not persuade you to have them be clouds floating around Mt Fuji instead, in sheer fabric, muted colour costumes? Or both in black with dramatic music as a pair of ninja or samurai warriors?
I am using my imagination to explore the question: could RikuRyu be possibly cast for Hyoen series which is know, amid other, for using traditional Japanese costuming on ice? Have you seen any of these shows by the way? Links to YouTube videos are available 
