It is not at all clear why you need any "special cable" for 4-terminal Kelvin measurements?
And certainly not 2-conductor shielded cable. A shield is a nice thing to have if you have somewhere to ground it.
But if you have no ground terminal, the shield is a receiving antenna and essentially worse than no shield at all.
My first choice for 4-terminal Kelvin clips would be ordinary lamp cord (or "zip-cord").
Or if you want to get fancy, a single-conductor shielded cable where the outer braided/spiral shield is the current (low-impedance) side, and the inner conductor is the voltage/sense (high-impedance) side. That gives you essentially "guarded measurement".
I would even consider making my own Kelvin clips. Here is an elegant design with a few simple bits of metal and plastic..