Chanced upon Kori King, a newly opened place specializing in Kakigori, sharing the space of Salad Stop in The Cathay.
Possibly the most affordable one ($5.90) we've seen thus far - so try we did. Portion & quality was pretty good for its price. Think ice kachang, but lighter and we were surprised by how fluffy it was. Got Matcha Haven, they were very generous with their in-house milk sauce and the bittersweet matcha sauce, but it was well-balanced, not too cloying nor overly bitter. Comes with Mochi balls which they ran out of, so we got the strawberry, paired pretty well.
Others include local flavours like sour plum that I'd very much like to try; gula melaka, mango, tiramisu, black sesame and peanut butter. Each flavour is said to be made from natural sauces/ seasonal fruits, with no additives. Pretty good place to seek refuge from the crazy heat!