Thanks to Sneb1, we have an official Speedrun.com page where you can submit your best lap times and see how fast other people are doing. While a Steam leadboard integration is something I plan to add at some point, this is definitly a great way to show your driving skills in the game in an organized way.
That platform would also be a good place for future contests, with enough participants we can organize official time trial championships and feature winner names inside the game.
So head over to your favorite track, hit record, and try to set the fastest time you can, I will too, see you out there!
Link:
https://www.speedrun.com/avr