Interesting. I tried a dust mask before when riding my bike because I was annoyed by breathing car exhaust. I should not have been surprised by how much harder it made breathing in general in retrospect. Perhaps a mask with minimal filtering would be okay, but anything more makes breathing very difficult. Such masks are not designed for when you need more oxygen than normal, and such a mask might not even be possible. You might need something like a SCBA.
A quick google for "high flow dust mask" reveals several options in this exact niche, including designs especially for bikers and also ATV riders.
A 2006 study showed that “280,000 people in the U.S. receive a motor vehicle induced traumatic brain injury every year” so you would think that wearing a helmet while driving would be commonplace. Race car drivers wear helmets. But since almost no one wears a helmet while driving a regular car, you probably fear that if you wore one you would look silly, attract the notice of the police for driving while weird, or the attention of another driver who took your safety attire as a challenge. (Car drivers are more likely to hit bicyclists who wear helmets.)
The $30+shipping Crasche hat is designed for people who should wear a helmet but don’t. It looks like a ski cap, but contains concealed lightweight protective material. People who have signed up for cryonics, such as myself, would get an especially high expected benefit from using a driving helmet because we very much want our brains to “survive” even a “fatal” crash. I have been using a Crasche hat for about a week.