In a small bowl, stir together the oil, shallot, capers, caper brine, lemon zest, lemon juice and garlic. Season with salt and pepper. Set aside.
Trim the ends of the zucchini and cut each squash into 2-inch segments. Slice the segments lengthwise into 1/4-inch-thick slabs, then slice those slabs lengthwise into 1/4-inch-thick batons. Add to a large bowl.
Just before serving, season the zucchini with salt and pepper and toss to coat. Stir in the cheese, herbs and dressing and season to taste with salt and pepper. Sprinkle with the almonds and serve immediately.