Only Modern Dramas is killing mee since I do think most of the best chemistries are found in Historicals haha
Though, here is what I personally recommend + mentioning if what you want to avoid is included or not
Lighter & Princess : Cold ML but more like he just doesn't give a * about anything not Cold just for the sake of it. No Family drama even though we have 1 or 2 episodes with her mother whining yet she has some reasons and it's rather short, no love triangles, more like rivals to lovers though
Hidden Love : No Cold ML, no love triangles, a bit of family drama since he's her brother's bestfriend but quickly resolved, friends to lovers
Haven't seen it but heard a lot of good about it and seems to be exactly what you're looking for The Best Thing