Have you tried the built-in Books app on iOS? I find it to be a simple book reader that allows for ePub files to be opened from the Files app without having to sync them manually using something like a Mac.
I have not, I still consider myself a iOS newbie and tend to avoid the Apple software because of their lack of features and usefulness. But I'll give Books a try, didn't realize it let you read local files, thanks a lot for the recommendation! :)
In case others are in the same situation, I ended up doing something like this:
idevicepair pair
mkdir ~/iphone
ifuse --documents com.google.chrome.ios ~/iphone
cd ~/iphone
cp /home/user/books/*.epub .
cd ~
fusermount -u ~/iphone
Then use Files app on the phone, navigate to the Chrome documents folder and click on the .epub file and after ~5 seconds or so it opens up in Books, and after that it's accessible via Books directly.If you’re on Linux, using iCloud to add files there should be easy enough as well. Then I just added them as I needed them. I’m on a Mac though so it’s a bit easier.
Sounds like you found a solution though.