Hi Paul / Tom,
yeah CDEFGABbB will get you a dominant bebop scale you could use over C7. Bad news? There are different bebop scales for the different chord qualities (eg major, minor, half-diminished...)
Dominant is probably the most common, but usually it's played descending... CBBbAGFEDC, and often starting from the C or E or G.
Basically they work to put the chord tones on the downbeats in the bar - assuming you start on a downbeat.
Have fun!
Simon