B, if the direction of the static friction of the stone is upward, as shown in the figure, the greater the diagonal support of the excavator, the smaller the friction of the cliff to the stone. So, B is wrong.
C. If the supporting force of the excavator is appropriately reduced, the direction remains unchanged, the maximum static friction of the stone is reduced, and the gravity of the stone remains unchanged, then the stone can be slowly lowered. So, C is correct.
D, the direction of the excavator support force increases gradually, and the component of the support force along the cliff is Fsinθ, but the maximum static friction of the stone also increases, which may not make the stone move upward along the cliff. So, d is wrong.
So choose AC.