This is an honest question and at least gets at the core - is it even possible to have a "good" god if that god created a universe which can support suffering in the first place?
I would kind of expect a god who has a moral philosophy to make a universe which functions on that morality, down to the animals and plants. The presence of suffering in the natural state of animals and plants is indicative of a deity who isn't moral, or has a moral compass so alien that they are immoral by most human standards. As above, so below, as the old alchemists would say, the state of the world reflects the state of the heavens. The existence of suffering implies a god powerless to stop it, or who considers it an acceptable situation.
For example, if I were to meet a god that claimed to have made the world, I would ask it to explain why parasitic larvae eat living things from the inside out, why lions start eating their prey before it's actually dead, why dolphins torture porpoises, why the duck penis?*
If it's answer was that it made the initial conditions and then just left it to run like a closed terrarium, I'd consider it amoral, but not immoral. A moral deity would have intervened to undo the suffering caused by it's design.
Most other answers, ones involving active intervention, omniscience and so on, would result in me concluding that the god was either immoral, a lunatic, or operating on a morality so alien it's of no relevance to my own decisions.
A god of the nature found in Gnosticism would get a pass from me, because it doesn't have the power to prevent material suffering despite wanting to.
*'Why the duck penis?' is a fundmental moral question to my mind.