The real question is where do you run QT next?
It seems unlikely that Arlington will have enough horses to card a non-winner of 1x before the end of its meet on September 30th.
The only real option is to find a small stakes race somewhere. The most obvious answer is a $100,000 race at 6 furlongs at Indiana Grand of September 16th. There are also two small stakes at Canterbury. Maybe you could guess that Churchill will eventually fill a 2 year old allowance race.
I know I have laughed at owners running maiden winners in stakes races, but now I realize it might be the only race available.
This is a nice problem to have, but it does not have an easy answer.
Buying A Race Horse 