Well, omnipotency is out, I believe. An omnipotent god needs, by definition, be equally able and likely to be exceedingly cruel as wellwilling. The question is, why would such a god hav given Noah the task of building an arc in the first place?
And the question of humanities "free will" is another nail in the coffin. Either humans only have free will for as much as whatever whim the omnipotent god allows for, or of the free will is immutable, then there is one thing the "omnipotent" god can't do, and thus omnipotence is out...