Hi Morg,
Think of any card box, unfolded, that would be the closest that you can get. It can be a fold like a small t or capital T. Of course, the one side of the t and the other side of the T could be mixed. Six sides have a specific logic to it.
Another example, going by your image: If you take a print of a photo, large enough to wrap a box, how would you do that?
As your image shows, something is missing in the shoulder area.
Of course, an image can be projected (like a slide projector) on to the surface with flat or camera mapping if an image needs to be seamless, with Shrink-Wrapping. If I would know more about your target, I can give you more precise examples.
Here is a very rough run-down about the UV set up. Please note that while I move the UV mesh (right side), the whole placement of the image changes.
Screen-capture (sketch)
https://www.amazon.com/clouddrive/share/bbcOxPrqi6BWqqTJAQmXSRWcEqVlJZsY8CUIlcFvmpk
Let me know what you need, and I’m happy to look into it. Perhaps with an example file.
Cheers