Plex essentially has two ways to figure out what your music files are. It can use the folder/filename structure, or it can use the embedded tags. If you don’t want to have to fix the embedded tags, then the files have to be in a folder/filename structure that Plex recognizes. This Help page explains that structure. If Plex sees several artists in a single folder, it will naturally assume it is a ‘Various Artist’ album. I’ve had my music thoroughly tagged for a long time, so I don’t know if this method is adequate for classical music. I suspect it would be annoying.
If you want all your music files to be in a single folder, the embedded tags have to be in good shape. With a recent update, I’ve found that Plex is finally able to handle a flat folder structure pretty accurately, as long as the tags are in very good shape. And, yes, since Plex doesn’t read the Composer tag, I’ve had to tag my classical music with the Composer as the Album Artist. Hopefully that will change, but I’ve been hoping for a long time, so…
You could simply view the library in Folder view, but that has always been pretty basic, and recent changes have made it even less useful.