Here's an idea.
How about you call the chapter, or part of it, where they suffer the nightmares 'Time of the Dreamwatch'? I've always wondered myself what that term meant, as it had no direct correlation with the game. In fact, I think that when I finished Chrono Cross that was my greatest disappointment. I heard the music before I played the game, and was enamoured of that song above all the others, and intrigued by the name. Ever I assumed it heralded a time near the end where dreams would come into play, where the heroes needed do something through their sleeping minds, watch their thoughts, or something equally mystical, that bore the term Time of the Dreamwatch, and through this the song would play. I was most distressed that, as far as I remember, the song was never used in the game proper: only in the intro and a certain ending.
Thus I think it would be apt to at least give the name something more of use in this game, either for the aforementioned chapter or, more preferably, as a segement for the end. Is there any way you could incorporate such an idea as the Dreamwatch (whatever that might be! Maybe the Dreamwatch is even a place, connected with Zurvan! Just some ideas, I'll think on this more.) into the story? I think it would be an excellent connection to Chrono Cross. The latter game would thus, in its intro, be referring to events that came before, bridging it with Chrono Trigger.