A balloon does that because it has very low mass and moment of inertia, compared to the thrust provided by the escaping air.
An asteroid is not like that, even when heating one side with a nuclear bomb. The goal is to create a tiny change in its velocity vector, which still adds up to a significant trajectory change over time.
We just need to build a spaced based array of microphones (comsaphones???) to listen for the high pitched squeal or the pfffft sounds as the air is rushing out the opening.
Really? C'mon. Walk this thread back up, and see if you can find where it went off the reality rails. Then, see if your comment fits with the seriousness of the thread.
An asteroid is not like that, even when heating one side with a nuclear bomb. The goal is to create a tiny change in its velocity vector, which still adds up to a significant trajectory change over time.