Usually when I meet a girl for a day 2 I give her options... we meet up and I say something like "OK, do you want to do something adventurous or something relaxing?" and then depending what she says I would grab her by the hand and take her somewhere and it will be a surprise. Last girl I did this with the adventurous activity was a slingshot:
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http://www.youtube.com/watch?v=OT7_JL6sijU[/youtube]
It was super fun and anchored feelings of excitement to our relationship, it took us an hour to relax after that.
For a day 2 - try to TEACH the girl something. Demonstrate your value. If you take her somewhere it should be a small cool local place nobody knows about. Or take her somewhere you can demonstrate your skill. Or take her somewhere where "everybody knows your name" so when you enter the joint people are social proofing you.
Have a solid day 2 and day 3 and day 4 and run that same "date" over and over again on every girl, so you are comfortable with it, so you know all the logistics etc. Try to meet at your place before you leave so she is familiar with your place, this will make it easier for her to later come back to you. Try to make the locations of the "date" closer and closer to your place...