Salt Tomatoes: Toss tomatoes and 1/2 teaspoon salt in medium bowl. Transfer to a paper towel lined baking sheet and let drain 15 minutes.
Make Dressing: Combine green onions, garlic, lime zest, lime juice, 1/2 teaspoon salt and 1/2 teaspoon pepper in large bowl. Let sit 5 minutes, then slowly whisk in oil.
Toss Salad: Add jalapeños avocados, cilantro and drained tomatoes to bowl with dressing and toss to combine. Season with salt and pepper. Serve.