I actually do exactly this for a site I'm building. I use Firebase and Angular together and I host the site for next to nothing using Amazon's S3 static hosting option (costs me like $2 a month). I wrote a more robust angular firebase module than angular-fire, the one the Firebase guys wrote, and I also created a tiny framework/script-runner similar to Yeoman that automates a bunch of stuff including deploying to S3.
I'll message you when I make it all publicly available.