And just a random suggestion, perhaps the new unit name should belong to the 0.0001 denomination (cent of a cent).  We'll go through fewer names that way, less confusion.

I am not sure that SI prefixes are the way to go.  I occasionally use SI in regular speech just to be geeky (example, I like to say 5 "kilodollars" instead of 5 "grand"), and people look at me like I'm nuts and often don't even know what I mean, even though it should be obvious.  No one seems to expect to see money to be measured like kilograms or millimeters.