Put the miso and cold water in a mason jar, and shake until blended.
Add the additional ingredients.
Secure the lid and shake vigorously until well combined.
In a medium-sized bowl, combine the lettuce, cucumber and 4 tbsp of dressing.
Lay out one piece of lavash, and fill the center with half of the dressed salad. Top with the cubed cheese, and drizzle with more dressing to taste.
With the lavash in front of you, tightly fold one side over the filling, then fold the ends over.
Continue folding until all of the contents are wrapped inside.
Repeat steps 2 and 3 to make the second sandwich and serve.
Serving Size 2