store them with ease at the side of the street; perhaps paying a fee while they use the land
Then it's no longer a sharing model; it's a "I want 24/7 control of a bike but only pay for while I'm riding it and park it anywhere without consequences" model.
Which would be handy, but it wouldn't scale well from a business standpoint.
You could travel around the city, leave your bike there, and come back and continue your journey!
https://en.wikipedia.org/wiki/Parking