Hey guys. First time poster here. I signed up because there are so many creative ideas going around on this board and in this thread, and wanted join the fun.
I wouldn't call this radical, but here's my idea of inserting Dooku into The Phantom Menace:
Right after Mace's line "Which was destroyed, the master, or the apprentice?" and the pan towards Palpatine, we cut back outside, where we see Dooku watching Qui-Gon's funeral, a sad look on his face.
I think it's subtle, adds to his character when it comes to his feelings towards the Jedi, Qui-Gon and the Republic as he explains to Obi-Wan in Attack of the Clones, and it doesn't contradict anything.
More ideas to come.