I made it with Cynar instead of Campari for a more herbal, less bitter experience. Just great; the spiciness of the rye goes really well with the artichoke weirdness of the Cynar.
I can vouch for the Cynar variation, it complements the Rye well (with Templeton Rye at least.)
Combining this idea with the Sophisticated Dane below, I can verify that Cynar-Akvavit works very well too - the artichoke weirdness balancing the caraway eccentricity (I'm using Aalborg Akvavit); finished with a dash of Bitter Truth Orange bitters.
Also, Hi Melissa, fancy meeting you here! :D