Having Alexa start a SmartThings routine
Then having sharptools start Tasker on an android device and
Then having Tasker run the hue disco app.
Alternatively, you have to figure out how to start the music from SmartThings and then you can start a color loop with IFTTT.
For example, Some people just do this with Harmony if they have music channels available through their home theater.
So the first step is to figure out where the music will come from. If you have a straightforward way to do that from SmartThings, it’s easy to layer in hue lights.