This sounds like something I could have posted when I was the original poster's age. I ended up putting the touring on hold until after high school, but doing some good day trips. It was a fair compromise and I don't regret it. I'd rather have happy parents than a good tour.
One suggestion: When you're going out for a ride, even if it's just a few hours, file a flight plan. Leave a note for your parents to let them know where you're going, the routes you're taking and when you'll be back. If you're just going around town, then tell them that. This is incredibly useful if things ever go wrong when you're on the road.
The written plan will let your parents know you're a thoughtful and careful cyclist and it will let them know you're considering them.