Ben,
this is one hell of a song. You’ve got grit, truth, and attitude — a raw outlaw-country anthem with strong imagery and a perfect central hook. Here are a couple of alternatives you might find interesting. Feel free to use any of them.

Instead of:
Well I was born in the gutter, raised on sin,
You might like this…
I was born in the gutter, baptized in sin

Instead of:
Police lights flashin’, hounds on the trail,
But I’d rather die fast than rot in a cell.
This might rhyme better…
Red lights flashin’, dogs on the scent
But I’d rather die free than live to repent

Instead of:
Well I howl at the moon with the meth-heads and fiends,
Rust in my veins and fire in my dreams.
This might rhyme better…
I howl at the moon with the lost and damned
Rust in my veins and blood on my hands

Instead of:
And when my story’s over, don’t you sing me no hymn,
This might flow better…
When the story’s done, don’t sing me no hymn