There isn't enough contrast in the source image to easily achieve what you are looking for, but there are a couple of things that can improve your result:
- Choose one particular channel (the one with the best contrast) and make your mono image form that.
- Remove some of the detail and noise from the image before converting to mono - despeckle, dust and scratches, and blur are all possible solutions.
- When converting to black and white, use the brightness and contrast in 'legacy' mode to give you control over the white / black point.
All that said, if you need this to be perfect then you will be looking at redrawing / tracing it (as somebody has just suggested while I was typing).