I am actually a really big fan of Tyzula. I blame capslock. Regardless of one's 'ship preferences, I think Mai is good for Zuko, and vice-versa. Plus she's like the best bodyguard ever.

Clearly the answer here is Mai/Zuko/Katara. Everything can be solved with OT3s. (Unless you're like me and ship him with Sokka, too. Then the answer results in a relationship chart that requires color-coded strings and rivals Torchwood in its complexity.)