Turn based strategy on a cube! How to properly rotate actor?

Sorry, make sure to use Normal and not Impact Normal. The Normal from the hitresult is basically the Direction the cube face is facing in. For example if your character was on top of the cube the Normal result would be 0,0,1, if on a side it could be 1,0,0.

I am at work so I cant go into detail but I know Ramas tool can hepl you. other wise