I'll nutshell the arguments I find satisfactory.
1) The most persuasive to me is the idea that from God's perspective, evil is at minimum necessary, and maybe even positive.
2) The free will defense. Not that free will creates evil, but that evil is necessary for us to have free will at all. What good is the capacity to choose if there are no options?
Please note, I am not making these arguments from the perspective of my own theology.
Ok, these were precisely the arguments I was thinking of.
The problem of evil exists because there is obviously something about the idea of a benevolent God and evil that just don't logically jive. The simple, intuitive answer is that God is not perfectly benevolent. To reconcile evil and a perfectly benevolent God, one must reach for the non-intuitive, complicated answer.
No-one would ever think up these arguments if they did not have the concept of a benevolent God to defend. What is more convoluted than thinking that evil is good?
Briefly, in response to the two arguments:
1. If evil is necessary and sometimes positive, then would not God have to have a little bit of evil in him to make him perfect? To put it another way, why is God so anti-evil when it is necessary, and he made is so?
2. Isn't it exaggerating a little to claim that there would be no options to choose from if evil did not exist? Why could not God, in his omnipotence, figure out a way to reconcile free-will with evil? Additionally, is the "good" provided by the existence of free-will greater than the evil its existence (supposedly) necessitates?
The sense of God's... I'll go with "goodness" though it's wholly inadequate... is indescribably persuasive. And yet, it must be reconciled to the more unpleasant aspects of being alive. This is not an easy task, and frequently results in mental gymnastics.
What exactly provides this overwhelming sense of goodness? I suppose that is, afterall, what this thread was about.
Personally, I see evil/suffering, and I don't say "Whoa. This needs to be reconciled with the idea of a perfectly good and benevolent God." I say "Whoa. This seems to provide overwhelming evidence that if God exists, s/he/it is not perfectly good and benevolent.