I would have tried to use a very low print resolution setting but Lightroom only goes down to 72 ppi. I don't know of anything straightforward/quick to get the effect you want in Lightroom. You could try to reduce print cell size to 1 or 2 cm and then resolution to 72 ppi and then print to file. Reimport that file, crop and test if you can really print with the look you're after.
That said, I'm a bit tired today and some more clever LR users might find an easy way to do it…
HTH