The problem is being framed unreasonably.
I'm challenging the existence of the god of xtian theism - the god who is love - defined as positive actions in the interests of others, as taught and demonstrated by Jesus and NT writers. I am not arguing against the god of deism or subtle versions of that deity.
If there was any positive evidence that the god of Jesus existed, but we were faced with the problem of natural evil, then we might propose increasingly unlikely ways to resolve the dilemma.
We might even end up resorting to desperate arguments such as the 'Rohypnol defense' (god might cause unimaginable suffering but later make it so victims don't remember it) or even the 'four-sided triangle defense' (god might cause unimaginable suffering but later erase history and make a new one where nobody suffered) - if there is a meaningful distinction between these two it is too subtle to matter.
But unless compelling evidence of this god's existence exists there is no need to sink to such depths of absurdity.