My chorus is using kazoos as a training device to learn to increase resonance. To keep the kazoo close, I made a lanyard with sliding knots and a Lucet cord.

It took me a couple hours to braid and knot the cord, and it is rather fiddly to work. When I stepped away, my brain came up with a much simpler way. Here is a video on how to do a simple, removable wrap on a kazoo using a string necklace (large loop of string).
Sometimes it is good to take a step back, or go do something else for a while, or go for a walk, to let ideas coalesce.