Core tomatoes and finely dice. Finely dice shallot and herbs. Add to small bowl with lemon juice and fish sauce. Season. Mix well but gently.
Slowly add oil, mixing as you go. May use less than 1/4C. Get to a consistency and taste you like. Set aside and refrigerate.
Rice
In medium pot, over medium heat, add chicken stock and saffron, bring to boil. Add rice, salt and return to boil. Lower heat to lowest setting, cover and cook 12 minutes.
Remove from heat, give a quick mix up, recover and let sit 5 minutes.
Uncover, fluff rice and let steam dissipate
Fish
Season monkfish on all sides. Roll it around in the seasoning.
Medium non-stick pan on medium heat. Add light layer of EVO.
Sear monkfish on all four sides (if filet is roundish, as was mine), 1-2 min each until you have nice color. Add butter and herbs to pan and baste, turning sides after 1 minute each. There is a wide range of acceptable temps for this type of fish from 110F-140F. I like it right in the middle, about 125F so you might want to use an instant read temp for this one. Remove at 4-5 degrees below desired temp and rest.
Finish
Combine ingredients for vinaigrette into small mason jar with tight fitting lid. Shake vigorously. Drizzle into dry greens, lightly toss to combine.