The "necessity" of running a tube is often because the sidewalls are thin, so there's more pressure loss than a standard passenger car tire. So long as the pressures are monitored and corrected as needed, tubes can often be omitted. Also, the type of wheel used can make a tube necessary regardless of whether the tire is race or street.
I believe you will find that drag slicks and drag tires in general get a lot more than 3-4 passes. Even Top Fuel cars get 4-8 runs.
Most if not all tires carry an info panel on them. Besides the DOT cert. and size, etc., below is what was on my McCreary Road Stars. The treadwear number will give an idea as to what to expect for tread life. I drove them sans tubes on the street. Tread life wasn't that good but they DID hook!