I have been using a great deal of KMC710 in our shop (where we build a lot of ss and fg bikes) and on my own bikes which range from fixed gears to ss coaster bikes, and 3 speeds and it has performed flawlessly on hundreds of bikes.

It looks badass (because it is) and will run $20.00 - $25.00

For 3/32 applications any decent quality chain should work but again, kmc delivers some very good value for the dollar spent.

I work as a messenger and my work bike runs a 3/32 drive... I use kmc Z51 chain (6-7 speed) which is cheap, very reliable, and long wearing.