Ok, warning, this is on of those “it-might-work-if-you-don’t-look-too-close” things.
It’s not real 3D, but CC Ball Action can give you the twist you want. Maybe the solid won’t look the way you want, but maybe it will, if you like a solid made of planks (creases) or made of cottage cheese like foam, you’re in luck.
To your solid add Effect>Simulation>Ball Action. Make the following changes:
Grid Spacing: 0
Ball Size: 200 + unless you want gaps when you twist
Rotation Axis: X Axis
Rotation: 0
Twist Axis: X Axis
Twist Angle: 180
Now if you don’t like the planks, but want the cottage cheese foam twisted solid, set Scatter to 1.