The burned down inn should be much more hostile towards drow than the rest of the map, I think. The tieflings who captured Lae'zel are also much more hostile towards drow than most other races.
Other than that it is a bit hard to tell, for now, Baldur's gate as a city should be dangerous for a drow player, but considering who we meet in act1 so far it is not so odd drow have an advantage. As long as it changes later on when you visit more civilized areas.