This should work
You step into the border regions of the Ethereal Plane, in the area where it overlaps with your current plane.
So with etherealness, you move physically into the Ethereal Plane.
You become invisible at the same time that an illusory double of you appears where you are standing.
And mislead created an illusory double where you are standing.
Thus, your illusory double should indeed be in the Ethereal Plane with you.
When you end etherealness, the illusory double would stay in the plane because no effects from either spell say it would or even can come with you.
Once you are no longer ethereal, you should be able to control and use your illusory double in every way described by the spell's description. There are no range or concentration effects or any other kinds of interactions that would forbid this.
Thus, you should get an ethereal scout for one hour.