I have to disagree on the fear part. Just because catecholamines are released in response to stress or excitement doesn't mean that if you get someone scared their thought processes or perspectives about the situation are going to be the same. C'mon, catecholamines, also known as endorphins are also released during sex and you can't tell me that sex and fear mean the same things. The body responds in a physiologically similar manner to both situations by releasing catecholamines, which in turn increases heart rate, contracility and blood pressure.
I don't recommend a hike or necessarily somewhere private for a first date with a girl, unless you know her really well and were/are friends beforehand because she may become suspicious of you and wonder why you are trying to get her in a one on one situation so soon. I have been asked out on many dates where guys wanted to go somewhere really private like on their boat in the ocean or something. I'm not a tall or big girl and the thought of being cast overboard and my family never being able to locate my body scared me enough to decline those dates.
If you and the girl don't know each other well I would meet her at the coffee shop, meet for a drink somewhere, or ice cream. Use the KISS principle (Keep It Simple Stupid) and just keep the date inexpensive, casual, comfortable, and show your interest by asking her questions about herself and listen to her responses. If you do that then you are likely to get a second date.