I think a mixture of Jellyfin and Lidarr are what you're looking for, but I haven't tried out Lidarr personally. If it's as good as Sonarr then it probably works well.
Jellyfin is a media server, so can be access from any device. Most use it for TV and films but its music player and library work well also.
-Arr services are used to crawl usenet/bittorrent trackers for different kinds of media.
I'd imagine the process for this would be you add an album you want to Lidarr, which will then look around for the audio files, use a downloader you point to in order to download it, and then move it into your Jellyfin library.
Edit: I've pointed at Docker repos because I'm a container whore but I believe they all have bare-metal builds also.