The drow is actually the character type with the most unique dialogue by far. Just to make sure I understand, your concern is that there's not enough?
It does sound like that, does it not?
No, I think the main concern is that you do not face any hardship as a drow, quite the contrary, you only experience bonuses. Whether this is good or bad depends on the player, I imagine.
I also do not know how to bring in those additional 'bad experiences' for a drow player, other than adding even more unique lines for the drow. We also do not yet have the full game, so we can not 100% say that there isn't any drawback for a drow character just yet.
I welcome highlighting the issue though, even if we do not yet know if it is in game. An idea might come up to offer that drawback. Like additional loss of approval from non-companion NPCs if you are caught doing something bad.