We modified a cheap ‘bixler‘ remote control aircraft. This is readily available, can be driven like a glider or under constant power, and has plenty of room to mount extras like FPV gear or electronics. It’s also very forgiving in crashes, as you can probably tell from the tape at the front.
The LED strip is LPD8806 based, and can be found here. I’d highly recommend checking out the awesome tutorials Adafruit put up on the web showing you how to use it. I used a standard arduino, and the code is at the bottom of the page.