OP- you're over analyzing this. You're also making tons of excuses for this chick's behavior.
Your actions say that you're looking for a relationship which isn't the greatest demeanor. Your demeanor should be going out and having fun and if a relationship happens, it happens.
Will this chick eventually sleep with you? Maybe.
Is it worth all the hoops you're jumping through? Probably not.
Have her come over to your house and try again for all we care.
But if a woman is putting up such strong sexual boundaries after 3 dates, I'd hate to see what she does after you do sleep with her and she has you chasing a relationship like a rabbit chasing the carrot.
I've banged plenty of chick's I worked with. And they didn't act like her. They couldn't wait to get my dic in them.
So I don't know what to tell you. I don't deal with chick's that act "put off" by me trying to bang them at my place after the 3rd date.