and this also answers the red-shift question pretty quickly, i.e., there **is no red-shift** (*) because the ships have no relative velocity.
(*) at least to first order. My gut tells me that the curvature will introduce a second-order effect, but I have no idea which way that goes. Tidal forces compress in the angular direction => ship-to-ship photons fighting that lose energy and hence (maybe) red-shift. But ships getting closer together => (maybe) blue shift. Or maybe the two effects cancel.
But what we can say is whatever the effect is, near the event horizon it's getting smaller/goes-to-zero as we consider larger and larger holes.