some have suggested a floating ground is a good idea - ie, connect the outershield to one end only, float the otherThat is not floating the shield!
It is MANDATORY that you do so with single-ended cables, because connectong the shield to the RCA ground on both ends just creates a low-resistance bypass for the ground wire in that cable. Most shields are quite hefty relative to the hot and ground wires, so most of the "return" current will flow through the shield, if connected on both ends, rather than through the ground wire, as intended by the designer.
This bypass path will DISRUPT the correct operation of the cable!!! Many cables are designed with a balanced geometry so that the electromagnetic fields induced by the currents in the hot and ground wires actually cancel each other. The parallel bypass through the shield may not behave the same way - it will become more like a coaxial design.
It may sound fine, some coaxial cables do... It would be just a "funny" implementation of one...
BTW, you should mark the end where the shield is grounded, so that the stereo pair would be grounded exactly the same.