The OP lists three theodicies and wonders if there is a fourth:
God had a motive for making evil that we are unaware of that did not compromise his holiness.
Evil is the result of the free will of other creatures, but not God. This appears similar to the Augustinian theodicy.
Sin is an absence of the good.
Some candidates for a fourth might be the following.
- Irenean theodicy where evil is necessary for humans to develop as moral agents to achieve their potential of moral perfection:
Irenaeus (died c. 202), born in the early second century, expressed ideas which explained the existence of evil as necessary for human development. Irenaeus argued that human creation comprised two parts: humans were made first in the image, then in the likeness, of God. The image of God consists of having the potential to achieve moral perfection, whereas the likeness of God is the achievement of that perfection. To achieve moral perfection, Irenaeus suggested that humans must have free will. To achieve such free will, humans must experience suffering and God must be at an epistemic distance (a distance of knowledge) from humanity. Therefore, evil exists to allow humans to develop as moral agents.
Universal reconciliation where evil reconciles fallen humanity to God.
Leibniz' theodicy claims that God, though omnipotent, could not have created a better world that the present one.
Wikipedia contributors. (2019, May 14). Theodicy. In Wikipedia, The Free Encyclopedia. Retrieved 13:27, May 30, 2019, from https://en.wikipedia.org/w/index.php?title=Theodicy&oldid=897069131