Sure you can detect neutrinos that way, especially at higher energies. But you're going to be swamped by natural neutrinos (e.g. atmospherics), unless you have

Sure you can detect neutrinos that way, especially at higher energies. But you're going to be swamped by natural neutrinos (e.g. atmospherics), unless you have quite the beam. And how do you know where to point the beam?