I spoke with Hoosier when I purchased my 15x9.5 Quick time Pro's. They said it's your option weather to run tubes or not. Most people do not run tubes I was told.
I'm on my second set of tires and have run without tubes and no problems. I think I remember them saying not to go below 14psi. I run 16-17.I suggest giving Hoosier a call.
This is from Hoosier's site
6. Should I use "tubes" in slicks and DOT drag tires? ANSWER: The decision to run tubes is ultimately up to the racer. Hoosier drag tires are capable of safely running without tubes at the race track. Race tires are inherently susceptible to air leakage due to being built of very light gauge material needed to perform in various racing applications. A decision to use a tube should be based on your application and needs.
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