Whisk the miso, rice vinegar, oils, ginger, honey and water in a bowl or shake in a jar until smooth.
Set out four wide-mouth quart jars. Spoon about 3 tablespoons of dressing into the bottom of each.
Add the sturdiest, wettest ingredients next: chickpeas and edamame, then cucumber and bell pepper.
Layer the carrot and cabbage, then the quinoa or rice if using.
Pack the greens on top, pressing gently, and finish with green onions. Put the nuts in a small bag or container so they stay crunchy.
Seal and refrigerate. To eat, shake the jar well or tip it into a large bowl and toss, then add the nuts.