Do you have a dampening kit? Black skins or similar like (Remo) type stuff? The biggest problem with affecting a snake will be the vibration through the floor of your kick. I used to drum myself but moved to guitars a number of years ago and I play my half stacks through headphones now to avoid the vibrations through the floor/air. I'd say if you get dampening skins and throw some towels in your bass you'll limit the noise that would affect Ziggy to a bare minimum if not eliminate it altogether.
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