After a whirlwind trip thru Europe I would like to return to Denmark and travel the back roads. I will rent a car and want to see rural Demark with no daily destination in mind. Is it possible to get rooms at inns or motels in small towns without reservations?
I can't answer if reservations will be needed, it will depend on when you plan to make this trip, among other things.
You can find smaller hotels and inns on this site: https://www.smalldanishhotels.com