My horse loves to run

Like the title says my horse absoulutly loves to run. We pretty much do it all lol not to brag at all I just mean we jump do barrels flag poles pleasure equitation halter/showmanship and more and we place in all of them. But what she and I truly love to do is run. So I decided to start training us to do endurance races (shes an arabian by the way) so I think we would be just perfect for this. And I forgot to mention we always have "raced" the interstate because we have a field by our house that is along the interstate so I always choose a car and we race it which usually we can keep up for a few seconds but the field is kind of short and the cars are FAST:P, and she almost never gets tired or even breaks a sweat but I always end up stopping after so long because I feel creul racing her for so long lol. ANYWAY I was wondering of any one had any tips or advice or knows of any horse shows in or around southern Indiana.
Thanks

If you love to run then endurance racing is not for you. I have only ridden in one when I was young and stupid but I never saw a horse moving faster than an extended trot. They may lope short distances but I think most endurance riders ride primarily at a trot.

Oh well then do you have any suggestions on something good for us

I would look for competive trail its fast.