API method to play alert sound even on silenced phones, but not violate quiet hours

The API is fairly powerful, but it appears to me to be lacking one important concept:

I need to send messages that will play alert sounds even on silenced phones, but NOT violate quiet hours.

That is, semi-critical messages important enough to noisily alert users even on silenced phones, but not so important that users are awakened during quiet hours.

Optimally, such messages would eventually result in alert sounds once the user's quiet hours expire.