I would like to see the original story continued (Now that's a newsflash!) Pick up the show about 20-25 years after the Hand of God. Bring back as much of the original cast as possible. I would also like to see the backstory about Iblis, the Beings of Light, the Cylons and the Colonists and how it all began.
Now, here's the twist and I quite honestly can not believe I'm saying this but, Keep the Mini-Series in the storyline. Just "re-imagine" it slightly (I'm not trying to be funny, I really mean this.) in order to cast its events as coming from Earth. Show that Earth had achieved a level of sophisticated space travel and planetary defense capabilities. Have the ship (name it something other than Galactica) embark on a mission of exploration possibly due to some pending planetary catastrophe and have the ship going toward the "general direction" of the Colonies to look for a new home for the residents of Earth (or a solution for whatever the pending disaster is). Meanwhile, have the "original" Galactica and rag-tag fleet continuing their journey toward Earth.
At some point, the 2 groups would meet. Then, after realizing who they all are, have the 2 groups unite. Then,...........(still thinking).
I'm sorry for this being somewhat sketchy. This thought just hit me.

The thing that I like is that something like this could wind up being a "win-win" situation for all of us.