Mix jalapeño, lime zest, and orange zest with a pinch of salt and mash it together using a mortar and pestle, or just pressing it against the side of the bowl with the back of a spoon. Transfer to a medium bowl and mix in shallot, orange juice, lime juice, fish sauce, and coconut aminos(or soy sauce). Season dressing with salt and pepper.
Season trout with salt and pepper both inside and out. Heat 1 Tablespoon of the oil in a large skillet over medium-high heat. Cook 1 trout, skin side down, until golden brown and crisp, and till the flesh is nearly cooked through. Carefully turn the fish and repeat on the opposite side. Transfer trout to a platter. Wipe out skillet; repeat with remaining trout and 1 Tbsp. oil.
Toss lettuce, celery, cilantro, mint, and 3 Tbsp. dressing in a large bowl; season with salt and pepper. Top trout with salad and spoon remaining dressing over.