Is there a Bible that will allow me to add my own chapter and/or paragraph headings?
Not really - unless you create a Personal Book Bible
Or you could - potentially - do something with Highlights if there was something systematic you wanted to do
Can you provide a few more details as to what you are hoping for?
There isn't a "bible" that will allow you to do it... there would have to be a "feature" to do so... but I can't think of a good way to do so. You can create custom highlighters with text, but I don't think that would be a good solution in this case.
I apologize that I'm just now responding. I am hoping to create my own heads for the chapters. Sometimes I prefer to word things in a different manner. Sometimes I disagree with the title of the chapter or that there should be a chapter break in the first place.