I had this idea back in my undergrad when my professor first told me about neutrinos (which was his forte). The harder I looked the more infeasible it seemed. The big problem, is creating a detector. The reason this is a big problem is because neutrinos are so small and so neutral. How small? An electron is 511keV. A neutrino is <= 0.21eV. That's 7 orders of magnitude! And on top of that, they have a neutral charge. There is no electric dipole moment either. So how does it interact? Basically by striking another particle. And remember that atoms are basically empty space. So chances of that are slim.

So to place a detector in orbit we'd need one of two things. Space travel to become cheap enough where putting a massive body up is cost feasible, or a radically different understanding of how to detect neutrinos. (First is more likely)

The former also comes with some problems. You'll find more about this by asking why detectors are so far underground. And there's a big connection there to generating the resolution you'd need to map the interior of the Earth.