ISO Shave Ice

I just got back from a week in a straightforward little town in the middle of Kansas (Emporia). It's hot there this time of year, and in the middle of town there was a little shave ice stand, where they shave the ice off of a big circular block, powder fine, pack it firmly into a cup, and douse it with whatever combination of flavored syrups you request. They have 50 or 80 flavors, so the combinations really are almost infinite. I was leaning toward tropical flavors during my stay, with mango, guava, pineapple, and coconut predominating, but now I'm really regretting not having gone the cherry/lime route at least once.

So, my question is, is there anyplace in Los Angeles where I can rectify this error? I need freshly shaved ice, powder fine (none of that rough crushed snowcone/raspado stuff) and lots of traditional flavored syrups. (While I love the Korean shaved ice with the red bean paste, fruit cocktail, and Fruity Pebbles and all, that's really a different animal.) I'll drive if necessary, but if there was something within five miles of Mozza, say for example, that would really be spectacular. (I live a couple of blocks from Mozza, and being able to walk would make the shave ice a more nearly calorie neutral proposition.) Any suggestions?