Greetings Shriastae Tivale and welcome to our site.
I've always considered this site open to all, drow or not, good-aligned or not, follower of Eilistraee or not. Though of course you'll find mainly good-aligned drow followers of Eilistraee here; if you can deal with that then there shouldn't be any problems.
Regarding Drizzt, though there are definitely those who like the character I think that the general perception towards him tends to be fairly cool. Primarily I think, or at least in my case, precisely because the perpetual misperception that good-aligned drow and followers of Eilistraee are really all just a bunch of Drizzt clones.
I don't know why the goddess was created, whether it was as a nod to Drizzt-clones. All I know is how the goddess is now (well, pre-4E now anyway). And to me she and her followers are independents, taking their own path. To me they're champions of freedom and acceptance, often choosing the most difficult of lives to support it. I'm sure I won't have to explain to you how difficult life as an Eilistraeen in a predominantly Lolthite society is. And on the surface, where drow are generally often still considered with a "kill on sight" attitude it is no easier. Communities like this then, both for players and their characters, are a safe-haven and a momentary reprieve from constant persecution.
I don't think that in any way this makes it "an easier time" being a follower of the Dark Maiden.
All that said I truly hope that you'll enjoy your stay here, slow as it might move at times, and that despite being Lolthite you'll find a home of sorts here.
Love -x-x-x-
Shir'le