Can you share an of the "long story"? I happen to have a Singer RAF 15K and it looks very much like this. It has the knob on the bed to drop the feed dogs and the same style Singer badge. So many people say that a knob on the bed to drop the dogs means it's not legitimate Singer, but mine has a serial number that does check out on the website.
I would love to hear what the story is here. Here is picture of my machine for comparison.