Alright, then I guess we can proceed on the assumption that the Frozen Flame will be found in a cave on an island in the Sea of Eden. How about this outline of events:
-Backer, on a search for the Frozen Flame (I'll get into his specific reasons and methods in my next post), reaches an island in the Sea of Eden
-Hunter & Amy (V_Translanka can come up with their motives) are also on this island at this time.
-The three meet up, and Hunter & Amy decide to follow Backer (who's able to detect the Frozen Flame through his pulsing) into the cave (reasons to be left to V_Translanka)
-They reach the Frozen Flame.
-Hunter & Amy approach it, and are affected by it.
-Backer, meanwhile, seems to have gone into a trance. After a few minutes, he (possibly still in a trance--it's hard to tell with him) charges his sword with an odd type of energy and uses it to tear a rift in the fabric of time which sends all three of them to the End of Time. (Note: That energy will be of the Chrono Cross's element. He'll later find it's useful for pure destructive power, but won't be able to reproduce this "tear a hole in reality" trick. Again, exactly what's going on here will be shown a lot better in the actual post.)
If that sounds good, then V_Translanka and I can start working on this chapter. I'd recommend you start with a Hunter and/or Amy post leading up to them reaching this island and meeting Backer.
On another note, it would be more logical for the jailbreakers to end up in Keystone around 600 AD., as this was the time Sigma was pulled from. They don't have to do much there before Gaspar opens a gate for them to go to the End of Time.