That's not fun!
I hate to even say this, but do you experience the symptoms of depression when you're not on bc? Because many girls start taking birth control around that same time that they are susceptible to depression (teenage, young adult years) and don't realize that the two aren't related.
Do the anti-depressants help you?
You've certainly tried a lot. Does your depression seem to be cycle-related (like pmdd or pms) because then Yaz is supposed to help with that, and it also has different hormones than most so it might be better for you anyway. If not, you could try taking a mini pill, because they only contain progesterone. It might help.
Of course there is the mirena iud which has progesterone in it as well, but the idea is that it is placed in your uterus and the amount of hormones is lower and more localized, so you are supposed to get less side effects.
there is also the paraguard iud which doesn't have any hormones so that wouldn't have any symptoms and might be a really good choice for you.
Those are all my ideas, I wish you the best of luck.