I think you should go about it somewhat directly, without framing it as a date.
1) Arrange an event, something to do, something fun. This could include friends, or not. Either way, you will have already made plans to go do something alone that you enjoy. It does not exist dependent upon this lady. You're gonna go out regardless of her.
2) "Hi! I don't know you... like... at all, but you seem pretty cool. I'm going out to [BLAHBLAHBLAH] next Friday. It's should be fun, because [BLABLAHBLAH]. It goes from [CONVENIENT START TIME] to [RIGIDLY DEFINED END TIME]. Want to come with? And you could bring some friends, if you want. I invited some of mine, don't know if they'll come or not, though."
You'll note that it doesn't exactly come off as a date.
That's because it's not a date, and that's the goal. You want to get out doing fun things where you can get to know the person by whatever means. It helps a lot to make the occasion accessible to the other person, not just in schedule, and tastes, but emotionally. Dates represent pressure. Not just for you, but for her. It's very uncomfortable, and easy to anticipate with worry and other negative thoughts.
Nominally, you want to set up something that someone just can't say no to. Something where it's like, why would anyone say no? You want something easy going, relaxed, where everyone can be themselves and, and worry about as few things as possible. That said, you also want to arrange something where you'll get plenty of chances to talk(and definitely to flirt). This is a recipe for a good time that leads to more good times and good feelings. So long as you flirt from near the beginning, and give a couple early chances to show your direct romantic interest in her, you'll get resolution one way or another. And if she's not interested romantically, at least you could potentially hang on to her as a friend since you've already established friendship activities.
In summary: Genuinely pursue her as friend, and flirt early and often.
In contrast, something that wouldn't be nearly as helpful, or much more tenuous and prone to rejection would be: Schedule a classic date.
My point: Don't do dates. Dates don't help anyone. Not unless it's some sort of event, like Valentines Day or some other extra-personal circumstance.
Good luck!