From what I've read, her husband has no intention of letting anyone take control of her story. I think it's because of the manner in which she passed, and I would understand his feelings on that.
As for the making of this into a drama, the Taiwanese version, as far as I've heard, is the closest resemblance to her actually story, including ending it exactly at the point she left it when she died and noting in comments something to the affect, "out of respect for the author, we have no intentions of making a complete ending and deciding the final fate of the characters on our own..." ...and frankly, we don't know if she actually ends up pregnant and to move forward with the story you'd have to write making assumptions on what Kaoru intended.