If you're staying in Beblenheim, you're not far from Ribeauville where there are a few businesses that rent bicycles.
For a day of biking, you can easily find interesting areas to ride through. You can also check with the tourist offices where you are and see what they recommend.
Me, I like to wander around on my own and find out what's there...
For lunch, you can grab some food at a small bakery or a grocery store to make a nice picnic or stop in at a restaurant if you want something a little more fancy.
Here are a few businesses that rent bikes in Ribeauville...