I'm managing a project that's hit a major roadblock, and my team is ready to quit. Is there a story in the Satcharita that addresses such feelings of hopelessness?

Yes, there is a relevant episode in Chapter 51. Madhavrao and Dixit, on their way to Shirdi, encountered a train so packed they couldn't get on. Faced with this obstacle, they both decided to turn back and abandon their journey for the day. This moment reflects the despair your team might be feeling. However, just as they were about to retreat, the train guard appeared unexpectedly and solved their problem entirely. This story teaches that even when a situation seems impossible and you're on the verge of giving up, you should hold on, as Sai may provide an unforeseen solution at the very last moment.