Plus it does seem very odd claim that the God of the Bible does not exist because of suffering, when the Bible itself says that God's ways cannot be understood by humans,
If the Bible taught that God is understandable to humans, then the argument about the incompatibility of goodness and almightiness would make sense. But the Bible does not say we can understand the mind of God, it does not say that we can understand his ways, it does not say we can inquire of God about why he has done something and get a satisfactory answer. On the contrary the Bible says that 1) we cannot understand the mind of God 2) we cannot understand his ways and 3) we should not expect him to give an account of his actions. Given that's what the Bible says about God, it makes little sense to say that the problem of suffering disproves the God of the Bible. The Bible often states that God is inscrutable. The problem of suffering therefore does not disprove in the inscrutable God of the Bible.
You may say that the God of the Bible is undesirable or not worthy of attention, and give reasons for that view. But what doesn't make sense is to say that suffering is incompatible with the God of the Bible.