Typically, if your gut tells you that something is off, it normally is.
If a chick makes this much commotion in whether or not I'm picking her up or she is meeting at my place prior to going on a second date, my interest plummets. And when my interest takes a nosedive, I typically stop responding and shift that attention to someone else who matches my intent (especially when running a rotation).
You can always
text her the day of the date and simply say "hey sorry but something came up and I'm not going to make it this evening "......no more, no less. It gets you out of this while giving her a dose of reality.
It seems like she is more interested in a free dinner from you or just looking for someone to do something with when she is bored.
Doesn't seem like the sexual interest is very high on her part.