If you get a good quality brush and some good flat black paint, "Testor's Model Masters" for instance, I bet you can do it by hand.
There's probably a hard edge between the black and chrome parts, no? The brush should just follow this line.
I'm picturing my Challenger's door emblems, and I'm thinking the 'Cuda ones are the same.
The badge is metal and the paint is water soluable, so if you screw up the 1st time, just wash it off before it sets and try again.
Steady hands are helpful, though. :-)