My wife and I cycled "up" the entire length of the Rhine last May - June, including the Mosel and a short side trip up the Neckar to Heidelberg. Small and middle size towns are easiest for accommodations. Saturday nights might be busy. Heidelberg was as expensive a city as we stayed in, and very touristy, but it did have a professionally staffed tourist office at the train station that stayed open at least until 6pm.
Frank
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