Django-compressor: how to write to S3, read from CloudFront?

I want to serve my compressed CSS/JS from CloudFront (they live on S3), but am unable to work out how to do it via the compressor settings in settings.py, I have the following:

    COMPRESS_OFFLINE = True 
    COMPRESS_URL = 'http://static.example.com/' #same as STATIC_URL, so unnecessary, just here for simplicity
    COMPRESS_STORAGE = 'my_example_dir.storage.CachedS3BotoStorage' #subclass suggested in [docs][1]
    COMPRESS_OUTPUT_DIR = 'compressed_static'
    COMPRESS_ROOT = '/home/dotcloud/current/static/' #location of static files on server

Despite the COMPRESS_URL, my files are being read from my s3 bucket:
<link rel="stylesheet" href="https://example.s3.amazonaws.com/compressed_static/css/e0684a1d5c25.css?Signature=blahblahblah;Expires=farfuture;AWSAccessKeyId=blahblahblah" type="text/css" />

I guess the issue is I want to write the file to S3, but read it from CloudFront. Is this possible?

I wrote a wrapper storage backend around the one provided by boto

myapp/storage_backends.py:

import urlparse
from django.conf import settings
from storages.backends.s3boto import S3BotoStorage

def domain(url):
    return urlparse.urlparse(url).hostname    

class MediaFilesStorage(S3BotoStorage):
    def __init__(self, *args, **kwargs):
        kwargs['bucket'] = settings.MEDIA_FILES_BUCKET
        kwargs['custom_domain'] = domain(settings.MEDIA_URL)
        super(MediaFilesStorage, self).__init__(*args, **kwargs)

class StaticFilesStorage(S3BotoStorage):
    def __init__(self, *args, **kwargs):
        kwargs['bucket'] = settings.STATIC_FILES_BUCKET
        kwargs['custom_domain'] = domain(settings.STATIC_URL)
        super(StaticFilesStorage, self).__init__(*args, **kwargs)

Where my settings.py file has...

STATIC_FILES_BUCKET = "myappstatic"
MEDIA_FILES_BUCKET = "myappmedia"
STATIC_URL = "http://XXXXXXXX.cloudfront.net/"
MEDIA_URL = "http://XXXXXXXX.cloudfront.net/"

DEFAULT_FILE_STORAGE = 'myapp.storage_backends.MediaFilesStorage'
COMPRESS_STORAGE = STATICFILES_STORAGE = 'myapp.storage_backends.StaticFilesStorage'