We asked the hotel receptionist in Heiligenberg about best possible routes, but she wasn't a cyclist and didn't really help. In the absence of other information, we headed towards Pullendorf.
Nevertheless, dark clouds had formed and I was starting to feel rain-drops. "20km to go," said Arturo. "Hey wait a minute, what's your destination set to?" "Villingen!" "No. We're going to Trossingen. We're not going to make Villingen!" So he followed me and we flew as quick as we could towards Trossingen. As we rode towards the town center, Arturo noted: "This looks like a college town." Indeed, the cafes and shops looked like a college town, but I didn't notice any universities. But we were faced with a bigger problem: as raindrops grew bigger and bigger, there did not seem to be a tourist information center in town!
"The train station!" I cried. Sometimes, the tourist information center is there. Indeed, when we got there, we saw a town map, but nothing else. No offices. There were trains though! For such a sizeable town, I did not expect to have trouble finding lodging. We debated a bit about Hotel Baren, and then decided to ride for it.
On the way there, we found signs for another hotel closer to the train station, but it was closed! So Hotel Baren it was. When I got there, I asked to inspect the rooms and they looked great, and the price was reasonable though there was no half pension. I took it, parked my bike, and then Arturo showed up. He'd taken a wrong turn and had to flag down a pedestrian and ask about lodging.
We bought a Baden-Wurttemberg partner-tageskarte for the next day at the train station: for 27 Euros, up to 5 people can travel on one ticket as long as they stay on regional express trains. We tried to buy bike tickets as well, but the machine couldn't provide tickets for the next day, so we wasted 5 Euros before realizing our mistake. Well, it's not really a waste, since donating money to Deutsche Bahn to encourage them to provide bike service will never really be wasteful.