Why don't you just trace the line onto the record itself, and use a jeweler's saw to cut it? Here's an example: German Jewelers Adjustable Saw Frame
If you've got a CNC machine, though, that's big enough, all you need is a CAM program to translate the DXF file into a toolpath. Since all you need is a 2D toolpath, one of these free programs should be sufficient: Free CAM Software Just find one that will accept a DXF file as input.