NavList:

Frank,

You can calculate the azimuths for the stars based on the point where their altitude lines intersect, but that assumes you know the altitudes to absolute precision.  Basically, you'd be comparing the azimuth difference calculated from that point to an azimuth difference you measure directly(-ish), for another intercept of sorts.

If it helps, I ended up here by thinking of clearing lunar distances graphically on a plotting sheet, swapping altitude in for latitude and azimuth east/west of the star for longitude east/west of Greenwich.  On that grid, everything is independent of the equator

I have to be at work in an hour and will dwell on this more then.  I'll compare the azimuth differences with some old lunar distance sightsat (from a known location and known time) when I get home so I can look at actual numbers.