Unless you are going to cut several layers engraving is about the only way to get that. Under that circumstance, the width of the line does not count. The image is not conducive to relief carving that would be engraved in any case. Even as many layers it would be a problem as his eyes as an example would look horrid as either dark pits or bug eyes.
You might engrave the whole thing and cut him out like a paper doll and that could look very good but you would still have to engrave the whole shape and even when there are only a few tiny lines the machine still has to go back and forth like the whole area was engraved.