@mitchellmckain, your reasoning is clear. The problem is that we cannot go by logic alone, whether we are doing science, theology, or philosophy.
We need to compare our logic with the revelation we have been given by God.
For instance you say that God is infinite, and most Christians would agree, but the Bible does not say this. Infinity is a Greek concept and the Bible is a Hebrew, Jewish book.
Infinity is part of the philosopher’s god that you say you reject, but of we are a product of Western culture as is infinity. The Bible says that God is Sovereign, or unlimited in power, not infinite. Monarchs, personal, are Sovereign, the universe, impersonal, is infinite.
As you indicate the power of eternal life is not its infinite length, but its goodness. It is the fact that Eternal Life is Life with God as revealed by the Resurrection of Jesus Christ, and not by our logic.
The Trinity is revealed in the NT. We cannot lay it aide because we do not understand it or so not like it. It clearly says that God is Personal, which rejects the impersonality of the philosopher’s god, and the abstract nature of formal theology.
God is not infinite, because in-finite means “without boundaries.” God has boundaries which God has created God is not evil, but God is good all the time… God does not tell lies. The universe is not God.
The Sovereign God (YHWH) can do whatever God wants including giving Eternal Life. I suggest you read my essay God and Freedom on Academia.edu.