This is truly ambitious and I commend you for your big dream. Being an L3 myself recently I wouldn't even think this would be feasible for me, my budget and lack of knowledge without taking steps first. Not poking on your dream - that's what I like about Rocketry community - most people here want you to win. But from their perspective they want you to do it without hurting anyone or anything and bruising rocketry as a whole so keep that in mind when you read these replies. If your taking stupid risks - your mentor can steer and guide you.
Obviously you are a smart person and have thought a lot about it. So let the replies refine your path.
I don't think this is wise or doable without an L3 TRA / NAR mentor with you by your side, that's where it starts. Post this and people will start to take this more seriously and you will likely get more specific advice.
Good luck with your endeavor - honestly I wish I was that young when I started
Thanks for the good luck. I can assure you we won't be taking stupid risks, and I am typically pretty over-ambitious, but I will work with our mentor (not sure on his cert. level but he works for NASA) on scaling it down and avoiding risks. That's the main reason we have received funding, aerospace is becoming so competitive, it's a daunting task even when we start at 14.
-Jack