Honestly, no one (among Humans) seems to care that I am a Drow (Lolth sworn in theory). I invent role-play dialogues in my head as almost no one seems worried or distrustful ...
Lucky for them my character is not really evil ... she is borderline decent and tempted by surface life.
Anyhow, hence I never use Disguise Self.
I did 2 separate playthroughs to test that. First one was seldarine drow cleric of Eilistraee and my 2nd is high elven wizard, and while not every character is fearful of the drow, I did notice that the disposition of a lot of NPCs is a little bit different towards the drow. Some dialogues change entirely depending on the drow factor. For example the entire goblin camp treats you entirely different if you play a normie elf as opposed to drow. Also, a bunch of tieflings do react differently to a drow, Zevlor, if you save the tieflings and slay all the goblins has a special line that basically is something among the lines of 'I didn't think that one such as you would be our savior, but I'm glad I was wrong', my high elf had none of that extra dialogue.
What is disappointing though is that none of our companions seem to notice we're drow. Not Lae'zel (for her it makes sense, since all elves/half-elves are the same to her), not Wyll (for being the grand amazing hero, he should at least take notice of the drow not usually being benevolent), not Gale (wasn't Waterdeep invaded multiple times by the drow anyway? afaik the events of NWN HotU are cannon, no?), not Shadowheart (in her case she should see a surface drow as possible ally of Shar maybe?), not Astarion (there should be a line you could throw at him that vampires are not the only ones considered monsters, drow are too and with good reason).
About the disguise self spell tho, it's fun, but it breaks immediately if you speak to your companion, which is a little bit sad.
Seldarine drow sorcerers unite! 
