I ended up getting to know this woman. Every time I see she just takes my breath away. I want to get to know more about her. I've introduced myself to her, and that went ok. My thought was just to ask her if she wanted to hangout or something like that, but does anyone have any creative ideas for a date?

Take her somewhere public like a bowling alley or something. I wouldn't suggest going to some fancy restaurant or a play until it gets to the point where you're actually "together". It may come across as too strong as Dr. House (House M.D.) said, "Men only take women to plays to get them in bed." or something like that...

Agree^. But dont take her somewhere fancy becuase she might feel a little ackward and pressured since your not really "together."