Thank you for your reply. I will try playing around with those settings to see what, if anything, happens. I could be wrong, but I believe that is for artwork that is retrieved via MusicBee, not pre-downloaded images. I hope it works with local files.
I hope I can set up some sort of filename template that matches what I already have. I originally had them as the same names as the songs they are attributed to with the variants suffixed in a similar way to what they are now, but I wanted to keep the MP3s separate from the JPGs when viewing in a file explorer.
I don't wholly care about the 'Album Cover' and 'Album Cover (back)' labels as much as the auto-embedding itself. The way things work now, if I need to update the front cover for every song, I have to overwrite all the main album artwork for all the songs, than re-add all the single artwork to each song one-by-one after that. Unlike the one I used in my example, this isn't the case with most albums, but it's still annoying and tedious regardless. All it takes is one image or song to restart the process all over again.
I will try out your suggestion and see what kind of conclusion I come to. Hopefully, the worst it comes to is renaming all the artwork to fit a filenaming template MusicBee can read, which I can automate with a program since everything is already in a given format. If unsuccessful, I'll put in a request to the wishlist board.
Thank you again for reading and offering a potential solution.