One thing to bear in mind is that the chain is only one part of the equation, the chain it's self makes no noise when traveling along a flat (the top and bottom of your drive chain) - it is only when it engages with the cog and chainring that we hear noise. So your question should really be aimed at find a silent drive chain (cog / chain / chain ring / oil / maintenance).
KMC 710 Superlight with titanium Nitride coating 1/8th = absolutely silent (so far!).
One thing to bear in mind is that the chain is only one part of the equation, the chain it's self makes no noise when traveling along a flat (the top and bottom of your drive chain) - it is only when it engages with the cog and chainring that we hear noise. So your question should really be aimed at find a silent drive chain (cog / chain / chain ring / oil / maintenance).
Whisper quiet set up.