We think the heart of this cocktail is the dance between the Cachaca and the Limoncello. The syrup intrudes on that so we omit it. Also, it doesn't hurt to up the Limoncello a bit at the expense of the aperitivo.
We tried it with Husk Cane Spirit and, yes, it works very nicely. In our experience, Husk (the Mike Tyson of Agricole Rums) does best when it is in the boxing ring up against serious liqueurs. So, for example, our favourite use of it is in a Daquiricus (up against Italicus) and we also use it in a Cesaire's Last Word (up against Green Chartreuse and Maraschino Liqueur).