In a medium pot, combine quinoa, a large pinch of salt and 1 cup water. Bring to a boil over high heat. Top with a lid and reduce heat to low. Cook 12 minutes. Remove lid and continue to cook, stirring occasionally and adjusting heat if necessary, until water is evaporated and quinoa is tender but still al dente, about 4 minutes more.
Preheat a large cast iron skillet over high heat. When smoking, add olive oil, swirl to coat and add corn. Season with salt and pepper, toss to coat and place a lid or overturned skillet on top to prevent corn popping. Cook, carefully lifting lid to stir occasionally, until corn is darkly charred, about 3 minutes. Transfer to a plate.
Divide romaine, cabbage, tomatoes, goat cheese and radishes among two serving bowls. Top with tortilla chips, lime wedges and cilantro, and serve with romesco dressing.
For the Romesco Dressing:
Preheat a cast iron skillet over high heat. Add 2 tablespoons olive oil and swirl to coat. Add red bell peppers, season with salt and pepper and cook until charred and softened, about 6 minutes. Transfer to a blender and let cool. Add remaining 2 tablespoons olive oil, mayonnaise, nuts, sherry vinegar, garlic and 1 1/2 tablespoons water. Blend until smooth and season to taste with salt and pepper.
Dressing can be kept in the refrigerator for up to two weeks.