In a small bowl, whisk together olive oil, mustard, lemon juice, lemon zest, herbs, 1/2 teaspoon salt and pepper. Set aside.
In a medium saucepan, bring water to a rolling boil.
Add the remaining two tablespoons of salt and peas. Reduce the heat to medium; cook until peas are just tender, about eight minutes. Drain, and set aside to cool.
Add two tablespoons coconut oil to a large, heavy-bottom pan (preferably cast iron), and heat on medium until oil just begins to smoke.
Cook okra in batches, cut side down until golden brown and slightly charred, about two minutes.
Turn okra and cook until tips char lightly, about one minute more.
Remove okra from pan, set aside; repeat with remaining okra, adding coconut oil as needed.
Add tomatoes seed side down, and cook until lightly charred, about two minutes. Turn and cook one minute more. Remove from pan and set aside.
Place peas in a medium bowl, toss with lemon-herb vinaigrette. Stir okra and cherry tomatoes into pea mixture, toss gently to combine.
Taste, and add a pinch or two of salt, if desired.
Garnish with additional fresh herbs and enjoy.