AMEN BRO lol. your game with this girl seems good so far. you have built attraction with the negging and made her qualify herself to you (very good comparing her to other girls, makes them work more towards you) and you have build rapport with the deep topics. but it does seem too keen to tell her that you enjoyed talking to her, but i think it wont affect anything, so it'll slip by.
When she said that she doesnt date, most guys would be completely turned off by it. It's her showing a little LMR (last minute resistance) or another sense making you jump through a hoop, making you qualify yourself. so the only way to handle it is to show resistance back. this would make her bounce back and want you more because she expected you to cave like other guys do. this shows that you're an alpha male and you can handle yourself, you're the prize that she doesnt want to lose.
perhaps you can tell her that you dont date either. but if she says are we going on a date, you can say "no way, i just want to go to this new place and see what it is like". she's probably worried about the thing being labelled as a date, but even though it definitely will seem like a date, as long as you make it fun for both of you, she wouldnt think about the date label.
hope that i have helped. happy gaming dude
