When your mouse is already holding an actor, set its position like so:
1- Divide the mouse's position by the tile size (rounding up, so use the ceiling rounding method),
ceiling of: [(X of Mouse + X of Camera) / tile width]
2- Multiply the result by the tile size.
result * Tile width
3- Do the same with Y of mouse, Y of camera and tile height.
That will give you the corner of each tile as the mouse moves around.