Personally, I think you should continue with the story, as an unofficial dynasty. Then you can use the non heir, or Skittles first born as a dynasty founder. I don't think it should be about going for the HoF, it should be about having fun with the story. It would be a shame to dump the story and start over.
I think continue the story, but start a new official HoF DecaDynasty. Pam you're a great storyteller. I think you are entitled to at least one unofficial dynasty, and this is it.