I finally decided to buy a bottle of Bigallet China-China, something often recommended as a Picon substitute (it was available for a very short time at my local BevMo, gone by the time I decided to buy it, so I had to get it at Hi-Time). $40!!! Not cheap. But I do not regret my purchase. The "hype" was justified! It is amazing.
The first thing I made was the Keen-A On You (Donny Clutterbuck), a drink conceived with Bigallet that I had previously made with Picon. With Picon it was already a delicious drink, but with Bigallet it gained a depth that was amazing. This tasted like an ideal version of a Sidecar to me, actually. Wonderful. I wonder if there are any other cocktails created for it.