Camping is an excellent idea!
You should introduce the idea to her in a humorous way, too, using an old joke:
Fudgey: You ever been camping before?
Victi-I mean Date: Yes, I love camping!
Fudgey: Well, can I ask you strange question about a friend?
Date: Sure!
Fudegey: Well, let's just say this friend of mine went camping with another friend, and woke up the next morning with a terrible hangover, her pants around her ankles, a pain in her anus, and vaseline smeared all over her.
Date: That's terrible!
Fudgey: I know! But my question is, if this happened to you, would you tell anyone?
Date: No way!
Fudgey: Wanna go camping?