Taking a little inspiration from the Challenge Magazine #75 attempt at a 2d hex map derived from the NSL. This is never easy, once you select more than three stars and attempt to dimension reduce it into two dimensions you will lose distance information between any star that is not your central star.
In this version, the NSL is rotated into the galactic plane (that is, +Z is galactic north rather than the NSL default of the equatorial north), distance to the star in question normalized, then the position of the star scaled by that norm. Thus, the distance from any of the stars to Sol is accurate, but they are not accurate between the stars. A good example of this is DM+59 1915 to 61 Cygni. They're right next to each other on the map but about 6 LY distant in 3d.
A refinement I am adding is a hex grid in light years as well as the main one in parsec, allowing for a little more "space" between the stars.

Has anyone else had any luck building a 2D hex NSL?
In this version, the NSL is rotated into the galactic plane (that is, +Z is galactic north rather than the NSL default of the equatorial north), distance to the star in question normalized, then the position of the star scaled by that norm. Thus, the distance from any of the stars to Sol is accurate, but they are not accurate between the stars. A good example of this is DM+59 1915 to 61 Cygni. They're right next to each other on the map but about 6 LY distant in 3d.
A refinement I am adding is a hex grid in light years as well as the main one in parsec, allowing for a little more "space" between the stars.

Has anyone else had any luck building a 2D hex NSL?