Shimanami Kaido Bike Storage

Is there any places that stores bikes for at least a week?

I'll be visiting the island of Shikoku. My main reason I'm going there is to bike the Shimanami Kaido. I have thought about renting a bike, but I want to exhaust all options of me bring my bike before renting. My concern is I'll be in various parts of Shikoku for multiple days (Ehime, Matsuyama, Kagawa, Tokushima, Kochi) and was wondering if there are places that actually stores your bike.

I don't want to be rude and create nuisances carrying my bike around and would rather prefer to store my bike once I'm done with the Shimanami Kaido.

Thanks for your time