Boise-
Understand that simply killing mold, whether you use bleach, vinegar, or any common chemical, will simply result in dead mold. Ah, you say, that's what you want! Wrong.
Dead mold is just more food for live mold to re-establish itself in. You do not want dead mold, because it is just a buffet for the next batch of mold to feast on.
Now, if you kill the mold and lay down some chemical that will keep killing it, like arsenic or tin or some other toxin that's not so good for humans either, that will kill the mold and make the buffet toxic for generations to come. I suspect that's why old-sailer has good luck with vinegar--followed by a chemical fungicide! The fungicide is doing all the work.
So it comes back to killing the crud, which is EASY, and then eliminating it, which requires washing and scrubbing in an inaccessible place. A refrigerator coil brush might get in there, or a steam cleaner. You want to wash as best you can, to remove the "buffet". And then you need to keep that space clean and dry, well ventilated, or else stuff enough fungicide in there to keep what remains toxic to the crud.
The process is simple, and sequential, and there are no shortcuts. "Crud" is some of the most widespread and effective lifeforms on the planet. Set a buffet out, and it will grow. Keep the space clean and dry? And it doesn't grow there. Doesn't matter which tools you use, as long as they do the same jobs.
(Fungicide, mildecide, quaternary compounds...whatever, they tend to overlap on "crud" killing.)