I haven't used tubes in drag slicks for probably 8+ years, several sets of slicks, maybe close to 1000 passes. No wheel screws either, bolt in valve stems... yes, 1.34 60 ft @ 3600 pounds on a 10.5W stiff sidewall tire. Nobody around here runs tubes, well maybe 90% or so don't. They are heavy (some sizes add 50# or more), expensive, you will have to drill and screw your wheels, and will slow your car down a tenth. Some slicks hold air better than others, but I soap them up and air them up when new, do a good first burnout for good heat, then normal from then on out.
The only time I need to add air is when we wait a long time between rounds, and it cools off into the evening, or the tire in the shade, maybe a 1/4 or a 1/2 pound, otherwise, usually I release air, before I go to the staging lanes. I always jack up the rear about an inch off the ground for the entire week or two or or however long after/between races. If you let them sit a couple weeks or a month, sometimes depending on the tire, some will go flat, other won't. Luck of the draw maybe...
The only time a tube will help (other than hold air... but maybe not balance...), is when a soft sidewall tire is used, or the sidewall has been repeatedly crushed (low air and/or too soft/fast on shock extension) and is "gone", and the suspension needs it stiffened up to work correctly, the tube will do that somewhat.
That is my experience, others will dis-agree.