DW2 files are actually drawings / designs saved using the DesignCAD software and as far as we know, this is the only software that can open/import these files, which severely limites any attempts to dw2 to dwg conversion. Maybe other software from the same company can work with .dw2 too (TurboCAD), but we have not found any specific information about such export.
If you struggle with export of your .dw2 files, perhaps it is best to contact their support for assistance.