as others have said, you should try to develop this into its own canon. let it be inspired by Chrono, rather than shoehorning Chrono elements into a project with a different vision and set of ideas.
not to cause a massive derail, but Chrono Cross could've been its own game, unconnected to chrono trigger, simply by changing details. I'm sure you would have no problem drawing ideas from the Chrono series and reworking them into something new.