No matter what you do, you have a fundamental problem in representing 3 dimensional space on a 2 dimensional map. I feel that tying the map view to the constellations as viewed from the Earth simply adds another layer of unreality.

Hai-Etlik's projection is one way of going about it, but in all such maps the difficulty arises not in measuring the distance of each star from the Earth, but in measuring the distances of stars from each other.

The only explanation of 3D to 2D compression I've seen that makes any sense is the one I heard mooted for Traveller - basically it said that 3D space is like a crumpled up ball of paper and the 2D jumpspace map is simply 3D space 'opened out'. The distances between stars in Jump space is a related only by the random folds of space and bears little relation to the 3D distances - especially as those distances increase.

Any other attempt at relating 3D space to a 2D map is probably doomed to failure.

But that doesn't mean you shouldn't attempt it.