[ahoyhere]

Get the book "The Teenage Liberation Handbook." It's a bit facile, but it's all about unschooling and how kids like you (and me, at the time) can and do succeed. Dig up the statistics on unschooled/homeschooled kids going to college. My parents were assuaged by the idea that many homeschoolers get into excellent colleges (meanwhile I never had a moment's intention of going to college; I had exposure to too many older friends in allegedly high-end university programs to think it was worth my time).

Your parents just want what's best for you but because they probably haven't investigated it, they believe the hype and durm and strang about dropouts.

Since you're the one who wants to do something "weird," the burden of proof is on you. (That's the position to take whenever you want to persuade anybody of anything.)