Greetings:
I do not think that it is possible to determine such effects on neutrinos without a neutrino imager (pardon the spelling) and such a device does not currently exist. It is possible to detect individual neutrinos and their general direction using various detectors depending on the neutrino's resonant state, but you can not as yet form an image from neutrinos to determine gravitational effects on such neutrinos. Current detectors are vast to complicated depending on the resonant state. Various media include highly purified water, carbon tetrachloride, and germanium. Electron neutrinos are detected by water detectors, the largest type. I do not know if muon neutrinos or tau neutrinos are detected with the germanium type but the crystals of the detector have to be melted down for analysis. One is highly unlikely to get an image that way. And to get a useful image using neutrinos it is necessary to have some way of focusing them to form an image. Without some kind of neutrino imager or camera it will be very very difficult to determine such effects