Game-plan the silence by adding a short “easter egg” sample (or mini track) at the end of the silence.
Record a conversation with someone, or a kid playing with toys, or a dog barking, or whatever. If there is space remaining, do something with it.
Imagine your listeners’ surprise if, when the tape os playing out, suddenly a person (or five persons) shriek as if they are about to die. Or a kitten lets out a single, quiet meow right before the tape ends.
Seems like an opportunity, IMO.