The crowd is screaming for more, in your head you are Keith Moon then out of your sweaty mits the drum stick falls and you end up looking like Rick Allen. What you need is a fully adjustable stick holder.
Get your empty tube and put a drum stick in it, you will need to have enough of the stick showing to be able to grab comfortably and don't forget that it will also need a plug in the bottom to stop it falling out. Cut some of the inner tube, just enough to roll up and plug the bottom then tape it closed.
Get hacksawing that coat hanger and detach those clips.
Remove the reflector from the bracket (and put aside for another instructable). Next drill a hole the size of your bolt in the clip as shown
Fit the bolt from the inside of the clip and attach the reflector holder part, tighten but not too much it needs to be able to swivel.
Now you need to attach the clamp part which attached to the seat to the cardboard tube, using some of the inner tube to ensure a nice tight fit. Next attach the clip to the bracket as shown in the photo.
Find an appropriate spot to attach the clamp to your kit, you can adjust the hight of the tube and the angle so next time a drumstick goes flying another one will be in easy reach, without missing a beat.