I was going to comment on this.. then I double checked the community. Oops.
Vegan
A community to discuss anything related to veganism.
Yeah, otherwise I’d just make a key lime pie. I’m an experienced baker, but don’t have a big sweet tooth, so I haven’t done much non-bread baking lately and am pretty new to (and somewhat apprehensive of) vegan patisserie.
I’d try agar agar or maybe xanthan gum. Both are produced without animal products and are thickeners.
Agar is only going to work if you heat it. Xanthan gum might be the best alternative here that requires no heating. It'll certainly make it more viscous, but might result in a less than appealing texture. I'd experiment with maybe heating a xanthan gum and agar mix, then removing from heat and stirring in the yogurt. I dunno, requires playing around depending on desired results.
Xanthan gum might work, but I have admittedly never used it in yogurt.
Rice flour?