Model Rocket Amateur Radio Payload Idea

Hi, I was wondering if it was possible/legal to make a small repeater that would travel inside a model rocket to approximately 10,000ft and rebroadcast line of sight signals from a much higher vantage point, in theory increasing the range of the radio. Does anyone have experience with 'mini' repeaters?

Edit: It occurs to me that high power rocketry is seperate from model rocketry. This will likely be on a 54mm motor, 4in diameter body tube, and L2 motor. I have all my licenses for L2 and launching it to such an altitude

Edit P2: Thank you everybody, due to finical and technical concerns, I think I'm going to go with a WSPR beacon for either 2m or 20m band. That way the transmitting and receiving technology takes care of itself to an extent (in terms of complexity/costs) and the real challenge become designing an antenna that fits, which is my favorite part of the hobby (antenna design).

73, thank you all.