Should I reject my female crush's wishes for a friendship with me?
Why refuse the friendship with her?
I kind of like the fact that I don't know her so I can have continue having this crush.
If you feel that you want more than just a friendship, you should tell her. There is no point in fantasizing if you can make a dream come true. 
Oh.
Yeah, I get that feelings can be really strong that the friend zone is off limits. But her feelings matters just as much as yours. How about being very up front with her that you are only looking to date so she knows what she's getting into.