Why don’t you cycle at the bottom of Mt. Fuji, the world heritage site? They have designated cycle road, which is used be a railway. You can now cycle on it safely.
You can hire bike near the Shimizu railway station, and cycle to Miho, where you can watch beautiful Mt. Fuji.
When you arrive at Miho and come back to Shimizu, you can choose either cycle back or board a boat. We recommend boat trip because it is so nice to watch the mountain.
When we cycled around the Tokyo tower, we enjoyed beautiful autumn leaves there. Join our Tokyo Backstreets Bike Tour, and enjoy the last autumn leaves in this year.