I've owned 3 ( all TB) and left the game with a small profit. You have to find someone you are willing to trust because the game is full of kickbacks,lies, mysterious vet bills etc.
You could look into partnership/syndicate etc where you put up a set price and buy shares. Castle Village Farms is one example or West Point Thoroughbreds. Not saying they're good or bad, just using them as an example. There are many of them out there.