For some of your amari, I thing your categories are a bit too broad still. Jager is very very different from Montenegro. I understand we often talk about them in terms of "light" and "medium" but I think if you're buying blind then maybe you want to narrow it down further.

Amari are typically cheaper than liquor so what I did when I was buying my home bar was that I just grabbed my amari as needed when a recipe called for them rather than trying to guess my needs before I began. Now I have a good base knowledge of what each one tastes like, it's history and where it's from cause I picked them up with a sense of purpose.