If someone wants to threaten to off herself over a felony, SWAT certainly shouldn't take any risks to save her. Notify the family that she holds all the cards and all further actions are up to her. Call her bluff and move on to something more important.

Thus ends my fantasy arm-chair quarterbacking of a situation with which I'm not familiar from the perspective of a profession which I've got zero experience. Just in case anyone wants to call me out on it...I know.