Place one avocado, lime juice, garlic, jalapeño, cilantro and scallions in a blender and puree until smooth. Add olive oil slowly while the motor is running. Season with salt and thin with water, 1 tablespoon at a time. The consistency of dressing should be slightly thinner than ketchup.
Place strawberries, papaya and red onion in a large bowl and toss with avocado dressing. Place a small bed of greens on each plate and top with strawberry mixture. Slice remaining avocados and lay several slices on top of each salad, drizzle with olive oil and sprinkle with salt.