Yep, I just finished to setup a build and deploy system for Phoenix using edeliver and it's definitely not nice. A bunch of files in different languages, it feels unnecessarily hard. I hope that'll put some effort in that.
I've been hosting my site at https://clever-cloud.com with good results. I've been using Docker there but they just added beta Phoenix support which makes it really easy. They're French, and I'm in the US. So there have been time zone issues and support has been a bit lackluster at times, but generally they've fixed all the issues I've brought up and have been responsive. Price is right.
[0] https://github.com/bitwalker/distillery
[1] example dockerfile: https://gist.github.com/bsedat/16cb74ebc8ab0ed61ac598a129b0a...