I don't think a horse right off the track is going to be right for you as you're going to have to do a lot of training.
I agree my horse is so hot. She is full of race blood and she loves to run. A horse that has came of the track wouldnt be a best choice... I would say chose one that hasnt had that race experience
I have an OTTB and she is CRAZZZY!!!! They call her Loca Lucy at the farm... She is my pride and joy, but only a few people are brave enough to ride her.
One issue we had when we got her was the straightaways in the ring. When I would go to jump the line she would think it was a race and take off! (we got over this!)
But my first horse ever was a TB and she was the calmest horse I have ever rode in my life! (she was one of my Barrel Racers too...irony!)
People say check the bloodline, but also test them out. You can have a horse with a million dollar bloodline and be the hottest horse on the planet. Take your trainer and they will def be able to help you out.
Also, after you get the horse, try to book your trainer to help school the new horse so you can get it to ride correctly. I like to say that before my trainer Lucys alignment was off so she would drift left after jumps, but now she is straight as an arrow.