As Croatians tell the story, the Greek hero Odysseus was shipwrecked and held captive on the Croatian island of Mljet. Visiting in May, I and six other sailors embraced the myth when the motor on our 54-foot yacht failed.

“Remember, Odysseus spent seven years on Mljet,” said Ivan Ljubovic, our captain. “We can do two nights.”

In the scheme of things, the clogged fuel filter that impeded our progress on a seven-night, island-hopping cruise from Split to Dubrovnik on a yacht — which the passengers helped sail — was minor. Though an engine, even on a sailboat, is vital for docking and sticking to schedules on becalmed days, most of my shipmates agreed that getting waylaid in a village with Roman ruins on a turquoise bay was an acceptable fate.

I had been resigned to what were, in my mind, worse inconveniences when I had signed up for the trip last November. Then, the tour operator G Adventures had put several trips on sale over the Black Friday weekend. Its best deals were in the off-season, which meant potentially chilly weather and closed restaurants and attractions. But leaving in late April for seven nights of island hopping at roughly $1,300 — after a 30 percent discount — was too tempting to pass up.

My cousin Kim agreed and we made plans to pack rain gear and meet in Split to test the budget waters.