For the chicken salad: Bring 4 cups water to a boil in a large saucepan. Turn off the heat, add the tea bags and steep for 5 minutes.
Remove the tea bags and bring back to a rolling boil. Stir in 1/2 teaspoon salt and the chicken. Cover, reduce the heat to low and poach until fully cooked, about 7 minutes. Drain and transfer the chicken to a small bowl to cool to room temperature.
Stir together the onions, 3 tablespoons of the yogurt, the mayonnaise, basil, tarragon, vinegar and 1/2 teaspoon salt in a large bowl. Stir in the cooled chicken, cover and refrigerate for at least 1 hour to allow the flavors to combine. (Can be made and refrigerated a day ahead.)
Toast the almonds in a dry skillet over medium heat, stirring constantly, until golden, 3 to 4 minutes.
Divide the chicken among four of the bread slices. Top each with the toasted almonds, salad greens and the remaining bread slices. Cut in half.
For the smoothies: Combine the apple juice, 1 cup ice, lime juice, basil, apples and avocado together in a blender, and pulse until the ice is incorporated. Then puree until smooth. Divide evenly among four glasses.
Serve each sandwich with a smoothie and 1/2 cup of Greek yogurt topped with 1 tablespoon of raspberry jam.