Add brussels and squash to a very large sheet pan (or divide amongst 2). Toss with oil and seasonings. Add shallot to the sheet pan. Bake for 20-30 minutes until everything is cooked through.
Add all dressing ingredients to a food processor or blender. Blend until smooth.
Add all salad ingredients to a bowl and toss together with dressing. Serve and enjoy.
Notes
This makes 3-5 servings of salad depending on how much you want to eat.