Wasn't a date before the other times I asked her either.
I'm not expecting anything to happen, but if she has a good time, I figure it would maybe help change her impression a bit or make her more willing to do something in the future.
Sure I get that, but we've never been out together somewhere before. I feel it is hard to develop anything when you can't actually meet in private. Even if my chance is 1% of this going any where, it is better than the 0% before.
And if things don't work out, cool, at least I can use it as experience.
Don't do this to yourself, and don't do this to her. Trying to friend your way into a girls pants is dishonest and makes you a phony friend...and you deserve to find someone who'll give you better than a 1% chance.