I will try to elaborate on my style of play, players that I like, and some instruments that I like as well.
Not that I ever tried to emulate him or his setup, I've found within my own personal music rotation that John Convertino's setup, sound and style is very similar to what i currently play. More folk than the mariatchi side of calexico. I just got into (and LOVING)Jay Bellerose and recently Dan Hunt's solo work. Those are a little bit like what I'm talking about but are more along the lines of what I'd want to get out of the standard kit setup(kick, snare, rack floor tom + cyms. I like toys and drums like djembe, doumbek, bodhran, Cajon etc. I love the ability to change pitch and the sounds on bodhran but hate the way it demands both of your hands and posture to play.
My apologies if this doesn't help you help me. I'm an abstract person and it usually works against me, especially on internet forums. If I could communicate to you what I was looking for, I would probably have something different set up already. I'm just looking for ideas, thoughts, inspiration through artists or what have you.
When you do an internet search of non-traditional drum kit setups, it's usually some guy sitting on a cajon on or a cocktail set or some other easy travel inspired drum kit.