Which proves, again (Hi-Hi!), that space IS made out of a 3D plane rather than it is spread on a flat tiled gameboard ala GC'galactic'framework.

Kay, seriously.
If you're looking for an hypothetical map of the milky-way you should consider Trek stuff... cuz the Klingons and the Romulans, well - they ARE out there.
Beginning here --
WWW Linkin the Astrometrics section!
Or even, A long time ago in(!!).
Now, for a little bit of fun with projection theories.
1- However slim your choices can get, there is a direct limit to two tier coordinates system(s) using x-y only.
2- The solution is to ***ELIMINATE*** anything which isn't within the 2ly "boxlike" depth you mentioned.
3- Sure a few key stars may simply disappear from reality, but i would think that in all fairness... what matters more is objectivity and being true to the actual figures.
4- As an alternative, i would also suggest the following program (java enabled) to REALLY stick to projection principles within a strict (and/or theoric!) 250+ly of Sol;
Here, with ChView2.1 --
WWW LinkBelieve me, i have experimented with a LOT of "galactic" devices in the past and i understand what you're getting into with precision.
- Zyxpsilon.