So I've tried working with CC some more and have found it to be useless to me. It continues to want to sync and even when I say "don't sync" it doesn't want to connect. Like it's holding connection hostage.
Also, I tried opening a PDF from CC and Moon Reader was "Noep, not valid" so i'm giving up on CC.
Moon Reader+ seems to have a few nicer options than Cool Reader so I might keep it kicking around, BUT it's still not exactly what I want. It'd be nicer if Moon Reader had a "search image in folder for cover" and/or had the option to use <booktitle>.jpg/png/etc or cover.<img> in the folder as it seems Calibre will toss a file in there if each book is in it own folder (it seems).
So ultimately, Calibre Companion doesn't work, but Moon Reader+ seems to be growing on me, despite it ultimate lack of options.