The "Charlie Christian" is very different from any other single coil pickup available (there are replicas built, though), and because of the massive iron content paving the way for eddie currents, they have built in distortion, although a sweet one. Just listen to Barney Kessel. The combination of sweet highs and fat bass response is unique. So is the hum.
BL's are clean as a whistle, but due to it's soft magnetic core, my guess is that the L-610 is less distant, compared to the CC. I would try a 2.8H or 4H model for a powerful neck sound with a nice high end response. Smile