Oddly, Cloudflare is part of the Bandwidth Alliance - a consortium of 19 companies who want to reduce bandwidth costs.
Backblaze, an online storage and backup company, is also a member. They charge $.005/GB/month for S3 compatible storage. And if you map and access a bucket through Cloudflare there is no egress fee.
So it's possible to store and access your files at 1/3 the price of Cloudflare alone by using Cloudflare (plus Backblaze).