But I MUST add that none of these tricks will last for more than a couple of minutes, and after you do them a couple of times, they stop working. Sleepy drivers start "microsleeping", which means they fall asleep for a second or so then wake up without being aware that they did it. The microsleeps gradually get longer until you start noticing---or you die or kill someone else.
Don't take sleepiness on the road lightly. You can use the screaming to get yourself safely to a parking place. If you are this sleepy, pull into a busy parking lot and go right to sleep for 15 minutes (set an alarm). You're unlikely to be bothered by anyone in the first 15 minutes in a very busy, public location. They'll assume you're waiting for someone.
I'm pretty good at fighting the panic response when holding my breath - lots of underwater swimming bravado as a child - at what point do you breath?!? Leave it too long and you'll just pass out at the wheel. I'd imagine for me this would be too distracting and make me more likely to crash.
A research contender though.
I should also note that I don't tend to pass out. Last time I came close to passing out, I was in a state where most people would have (blood pressure at 70/40). Perhaps this trick is not for you if you pass out easily.
Initially I was going to write "an O2 boost to the brain" but thinking about it I couldn't readily create a mechanism for that to happen - I'm terrible at human biology mind you - and so I reduced the claim in case I'd miss heard. Presumably to boost oxygen to the brain you'd need to increase blood flow (vasodilation or heart-rate) or increase oxygenation of the blood.
Taking a very quick look at scholar.google.com there are citations supporting humans yawning when they have low blood oxygen; there's also papers saying that hypoxic patients increase blood oxygen levels through deep breathing. A yawn is like a single deep breath ... so perhaps?? But I'm not in a position to look further.
https://www.youtube.com/watch?v=_mq7UKQ3Jm4&t=45m
(Yes, it's humor, but BAHfest is great at satirizing wild ass guesses that have become mistaken for legitimate hypotheses when we really don't have the evidence to say we know.)