I’m redesigning the chassis to work with the superconducting cable:
The coils are now an elliptical torus, to better conform to the flat tape of the superconducting coil. The superconducting tape fits in the thin groove. Above the groove is a toroidal cooling channel. At the intersection of each joint is a spherical cavity so there is room so twist the superconducting cable to pass through the joint.
Prometheus Fusion Perfection 
did you ever think about cooling the superconductors conductively?
i figure doing the plumbing for cryogenics would be a feat itself