If HP filtered, and supported by powered woofer(s) I'd not be overly concerned about the CHP70's being able to handle a wide range of music, but would definitely keep their shelved top-end in mind.
While generally not the case for me with wideband drivers this size - I'd certainly want to use them with small tweeter (such as the CSS ERT26 made by Mark).
I guess it depends on what you consider "cheap" - the Fostex FF85WK is very nice at $38, and likely wouldn't need a tweeter for most folks