The moon's gravity is in play so the orbit might not be so simple, but there are all sorts of "halo orbits", orbits around the L4 and L5 points, etc.
It seems to me though that the Earth's atmosphere is always going to be "lit up" one way or another by some phenomenon like the Aurora Borealis, scattering and various sorts of skyglow, so there will be some background, but maybe it is not that bad.
It seems to me though that the Earth's atmosphere is always going to be "lit up" one way or another by some phenomenon like the Aurora Borealis, scattering and various sorts of skyglow, so there will be some background, but maybe it is not that bad.