I haven't done one for close to 10 years, but when I did do car dates, the ones I saw would want to be picked up at a location they specified. Any seasoned car date woman knows the discrete (but public enough for her safety) spots for fun and will direct you there. Once the date is complete, you take her back to where you picked her up.
Dangers? It's probably no worse than the seedy motel scene, but this thing of ours is inherently risky. Fortunately, I never had a car date situation go bad, but there are no guarantees. You are letting a stranger into your vehicle without any knowledge of who she really is. The quiet spot might get busy unexpectedly. Uncle Leo may wander by. She could take your money and bolt. She may be holding something with which you don't want to get caught.
Someone here mentioned a LL field. It should be obvious to stay away from anywhere suburban Karens might be watching their rugrats play, but there was a case here in South Jersey a few years ago where a couple (and, yes, she was a pro - I saw her at her place a couple of times) were caught at a field during a game. Two of the coaches turned out to be off-duty cops. Whoops. Anyway, our prince drove off, leaving her to deal with the popo. His escape didn't work as LE figured out his identity and popped him for disorderly, soliciting, trespassing and lewd behavior.