There is a BRC shuttle. It goes between the airport and the main shuttle station.
The burning man website states:
The "Burner Express Bus Depot located at to 6:15 and J streets for disembarkation and greeting!
..shuttles out to 3 o’clock or 9 o’clock along E or J Streets. Shuttles will stop on E street at 3:00, 4:30, 6:00, 7:30, 9:00; and J street at 2:30, 3:45, 5:15, 7:15, 8:15, and 9:30. Riders will then need to make their own way to camp."
I did not verify the round-BRC loop. Maybe someone who took BxB can comment on that part. I can verify the airport pickups about every 30 minutes. It runs to the airport roughly the BxA hours.
It is a 60's style cabin with seats like a bus, large windows, and orange panels that would fit in with Disneyland or Jurassic Park production design, towed by a pickup truck.
There are specific "bus stops" which mutant vehicles voluntarily pick up and drop off riders.
So seconding Mr Token, you are welcome to research, build, bring, and get licensed a mutant vehicle. Then you can travel the mutant vehicle bus stops and safely pick up and drop off participants!
You could be
Burning Area Imprecise Transit