<iframe width="480" height="390" src="https://www.youtube.com/embed/diY7FMzwqfM" frameborder="0" allowfullscreen></iframe>

The one that starts at about 0:50.

Some of the lyrics are both clear and specific, but Googling is not coming up with anything.

Ten thousand kisses
[For/from?] a broken collar bone
Sticking through decisions
Sweater you had sewn
Ribcage is a birdcage
[?]
[?]
[?] love grows
Long nights and [?]
[?]
Torn-up stockings

I did send an email to the distributor about it but we'll see if they answer or not.

Looking at IMDB for the soundtrack and they have 2 songs listed by the same band. Arizona - The Fairly Light, and Asheville Suite.

Here is the song The Fairly Light
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I'm taking a guess in the dark, but I think its Arizona's Asheville Suite and I think it was a song done only for the movie. I tried searching for Asheville Suite lyrics and found nada. The song isn't on their album either. Nor is there an Anywhere USA OST.

But listening to The Fairly Light, it does sound like it very well could be the same band. The song in the trailer does sound like their style, but sung with a more relaxed voice. Thats about the closest I can guess anyways.

I think the Asheville Suite is actual score. Having just reviewed the film, I don't remember the song from the movie, but I might have to check again.

I don't think the singer sounds like the singer from Arizona (Arizona singer sounds like a much higher voice), so that is my major hesitation there.