I may be way off base here so I apologize if this makes no sense...
Do you have the end crimps for cording that have the loop? Could you crimp each end in that and the using a jump ring attach the cord to the chain maille? Or can you wire wrap the end of the cord and finish with a loop that you can use to attach to the chain maille?
Those are my two suggestions for what they are worth. Maybe something from that will inspire you or will help inspire someone with something better!
Pictures might help too if you have the time etc...