Combine water and quinoa in a medium saucepan. Bring to a boil over medium-high heat. Reduce heat to maintain a simmer, cover and cook until tender, about 15 minutes. Remove from heat, fluff with a fork and cover to keep warm.
Meanwhile, heat rice in a large skillet over medium-low heat. Cook, stirring frequently, until golden brown and some starts to pop like popcorn, 4 to 7 minutes. Let cool slightly, then blend into a fine powder in a spice grinder. Wipe the skillet clean.
Whisk lime juice, fish sauce, chile (or crushed red pepper) and sugar in a small bowl. Add oil, squash and zucchini to the skillet. Cook over medium-high heat, stirring, until just tendercrisp, about 2 minutes. Stir in the ground rice and all but 4 teaspoons of the sauce.
Serve the quinoa and the zucchini mixture in lettuce leaves. Top with the reserved sauce and basil and mint, if desired.