It doesn't help you with your current Gyroc, but maybe the solution is to build it such that the elastic can be replaced. I've seen Mars Landers done this way so that the lander legs' rubber bands can be replaced after they start to lose their elasticity.

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Lee Reep
NAR 55948

Projects: Semroc Saturn 1B, Ken Foss Designs Mini Satellite Interceptor
In the Paint Shop: Nothing! Too cold!
Launch-Ready: Farside-X, Maxi Honest John, Super Scamp