No idea what “enhanced” means, but I use Overcast because I prefer the way it handles fine-tuning which episodes I download, and I can use its website to upload the occassional non-podcast audio file for listening later.
Just a quick comment that the ability to upload your own content with Overcast is restricted to subscribers ($15/year). I’ve uploaded audiobook content to Overcast myself, but none that include chapter markers.
Castro is another podcast app that allows side loading of your own content, again for subscribers ($25/year). Again, I have side loaded my own audio content, but nothing with included chapters.
A last podcast app that can sideload content that I have used is Downcast, which has no subscription but costs $3 one-time.
All of these I’ve used successfully to sideload .m4a audio files.