Assuming it's printed (at maximum resolution) on something like 8 1/2 x11 or A4 paper, it shouldn't be a big problem to photograph that to fill a 35mm frame. For my 1970s vintage equipment, the shortest macro ring I own with a 50mm lens ought to be about right. You might save yourself some effort and frustration if you print the zone rings in black on a while background; that way, you can use the negative directly for your zone plate rather than having to make a duplicate positive.
You'll want to use a film that has a very high Dmax and high resolution -- resolution sounds like it points toward microfilm stock or other monodispersed film like CMS 20 II, but high Dmax might put you more in the range of Lomography Babylon 13 or Ilford Ortho 80, both of which should have plenty of resolution. You'll probably also want to use "push" development, to increase Dmax as far as possible.