The main flaw in the Epicurean paradox, as I see it, is that it makes a semantic error. It assumes that if a thing has omnipotence — the ability to do anything— then that thing is then capable of doing everything simultaneously. It reduces to the sillier and more obvious question: “If God can go left and right, why can’t s’he do both?” Of course, perhaps an omnipotent being could manage somehow to go left and right simultaneously, but how would it have to change the world as we know it in order to make that possibility a reality?
The problem is that we humans are not omniscient — not all-knowing — and so we can only reflect on things from our tightly delimited and separated worlds of experience. If we live in Florida and there’s a flood that kills 20 people, we shake our fist at the sky and say “How could you let this evil happen? 20 people died!” But what if the consequence of preventing that flood would have meant a drought in Ethiopia that killed hundreds? And what if the consequences of preventing both would have resulted in a war in Ghana that killed tens of thousands? and what if the consequences of preventing all three would be a plague that ravaged Asia and killed millions? And what if preventing all four entailed some subtle change that would make life more or less impossible on this planet? We already see this effect from our own short-sighted efforts: our hunger for mechanical and electrical power has polluted the atmosphere in ways that are driving up global temperatures, risking any number of world-wide catastrophes and extinctions. A God is by definition not short-sighted — s’he is omniscient — and so s’he will have a very broad and clear view on which path is best to take. But still, s’he can’t easily take all paths.
Of course, I suppose we could imagine a world in which a God constantly intervened to prevent all badness to everyone. It would be a world of constant miracles in which there was no consistency or predictability; where natural laws changed from moment to moment and person to person in order to protect everyone; where no one ever really got to make any choices for themselves, because God was always redirecting things to keep them safe and happy. It would be like living in a universe run by an all-powerful, all-seeing, and all-meddling (and all-stereotypical, apologies) Jewish mother. How horrible would that be?
We lack the knowledge to evaluate the morality of natural events, because we cannot see what a God might see. We should focus on the morality of our own acts.