How about a wooden scooter?
At some places it’s hard to get horses or they get stolen all the time. So a wooden scooter would be easy to make with some wooden wheels and some wooden boards.
With a horse you are 2x as fast as walking.
Maybe on a scooter you could be 1.5x as fast. And if you put some rubber tires on it, you are 1.75x as fast.