Model the petals as flat, with a lower hinge.  One or two layers thick for petal area.  Petals will be curved to be a rose with heat, later.

Print using Cura, with an excessive number or 'walls'.  That should make it print from inner to outer, 

Start with clear filament.  Switch to TPU half way through the first layer.  Then switch back for the rest of the print, building a hinge.  Rely on the joint between the remaining clear filament layers and the central filament to conduct light.... 

Model in a long printed strand of TPU on both hinge lower edges.  One I will use to pull the rose shut.  One I will use to spring it open.

Build the base while the petals are printing... fit in a Dotstar module or three to light the petals via the clear filament area. Make the matching part of the filament hinges with an outer shape to mimic the petal/stem area.

Tie the petal TPU pull strand to a central shaft.  Tie the petal TPU spring strands to inside the base.

Put a servo in the base.  Tie the central shaft to it.

Code an Arduino to respond to touch, control the servo, bloom the rose, and light the rose.

Modeling the petals...  I think I will need some Rush for this.