Nine owners. Nine horses. One race. Everyone claims a horse, the field goes to the gate, and where your horse finishes is where you pick in the draft.
1 · The nine owners
Enter everyone's name, then hit the big button and let fate deal the horses. Watch the names scramble; where they land is who they ride. The last run of the race is official. (Or claim horses by hand if your league likes arguments.)
2 · Claim your horse
One horse each, claimed in order. The morning line is real. Favorites genuinely run better, but this track is pure chaos, so long shots absolutely live. Claim on odds, claim on vibes, your call.