I heard this song by Amy Grant on Aled Jones' Good Morning Sunday and it seemed to strike a chord:

God loves a lullaby
In a mothers tears in the dead of night
Better than a Hallelujah sometimes.
God loves a drunkards cry,
The soldiers plea not to let him die
Better than a Hallelujah sometimes.

We pour out our miseries
God just hears a melody
Beautiful the mess we are
The honest cries are breaking hard
Are better than a Hallelujah

The woman holding on for life,
The dying man giving up the fight
Are better than a Hallelujah sometimes
The tears of shame for what's been done,
The silence when the words won't come
Are better than a Hallelujah sometimes.

We pour out our miseries
God just hears a melody
Beautiful the mess we are
The honest cries are breaking hard
Are better than a Hallelujah

Better than a church bell ringing,
Better than a choir singing out,singing out.

We pour out our miseries
God just hears a melody
Beautiful the mess we are
The honest cries of breaking hearts
Are better than a Hallelujah

Another plea for authenticity in worship methinks.

You can hear it here