Thanks for all of the responses!
I just found out that I have access to a compressor that will allow me to control the output pressure. My plan is to hook the compressor to a manifold that gives me 6ish outputs and then have each output go into a solenoid. Each "prey track" will be connected to the air supply on both ends so with the solenoid, I can have the "prey" (stuffed animal) go down the tubing in both directions. Then I'll have three "prey tracks" which will use all 6 outputs and allow me to vary the location of the chase. I apologize if I did a poor job of explaining all of that.
I have zero plumbing experience unfortunately so I'm totally winging it. Here's the pipe I'm looking at: