As has been mentioned, this topic comes up every so often and normally with the same result... nothing.
Many have said it on here before, and many more will say it in the future - drag racers are gear heads. Tom McEwen, Don Prudhomme, John Force, Kenny Bernstein, and Joe Amato all figured out that if they wanted to pursue their dreams on the 1320, they'd have to learn how to become effective salesmen. Too many teams out there still haven't figured that out. It's not necessarily NHRA's responsibility to attract sponsors for these folks - it's theirs. NHRA could (and should) help, but it's not solely on them.
To cover an event from start to finish would require a lot of 'filler', especially in the later rounds. Even if NHRA reduced the time between rounds to 60 minutes - that's an hour folks! In the early rounds, it wouldn't be too difficult, but even when you're at the event live the time between the semi's & the finals is boooring. How many T-shirts do we have to see shot into the stands? How many bottles of Powerade do we have to see chugged? My recommended solution - show the sportsmen cars in the later rounds... especially the alcohol classes!
Drag Racing is what it is - most of us love it and would never leave, regardless of exposure, sponsorship money, etc. If teams want to compete, they must learn to market & sell - it's that simple. The rest should take care of itself.