As with many high speed interfaces (the 80-conductor IDE cables come to mind), they often put the ground lines in-between the signal lines to reduce coupling.
The next thing would be to put your most susceptible signals furthest from the signals with the highest current. In other words, you'll probably arrange them in order from noisest to quietest. You'll have to analyse this yourself to make your best guess as to the optimum order. In aircraft, it is very common to have categories and bundle and route the signals by 'EMI category'.
Finally, make sure the wiring isn't a larger issue than the slip rings themselves. It woud be easy to blame the slip rings for a cabling problem. The point here is that the cables are probably much longer than the slip rings. It is probably the parallel alignment of the conductors as much as (or even more than) the ring shape that contributes to the coupling.
I can't think of anything else. Standby in case anyone else has anything to add.
Disclaimer - I don't have any hands on with slip rings, but signal coupling is signal coupling. EMI control is simply making bad antennas.