If you poke the hole in the correct place, the balloon does not pop. To be specific, that place is in the neck of the balloon, where the skin is thickest after being inflated. Alternately, stick a piece of tape over the balloon, and poke a hole through that. Or pinch the balloon at the antipode from the neck, poke a hollow needle through the fold, and leave the needle in place.

There is always a way to bleed off pressure relatively safely. There is not always a way to do it without bankrupting your entire economy. I don't even know how those balloon solutions translate to geology, but they feel like they could be expensive--from tens of billions to trillions of dollars.