Last month, my son and I had the opposite situation happen. Approaching a bridge under power, and having to switch to sail
I have three timed ICW bridges to clear on my way out to the Atlantic Ocean. While motoring up to the first bridge (Atlantic Blvd in Pompano Beach), I announced my intentions to the bridge tender, and got his polite response with timing on his next opening. We loitered around until the opening, and then began through once it was fully open. As we were approaching the fenders, the engine sputtered and died. I tried a quick restart, and got nothing. luckily we had some way on, so I was able to spin her and move mostly out of the channel to avoid blocking the boats behind us in line for the opening. There was a pretty strong outgoing tide, so once out of the way, we began to drift back towards the bridge. I had my son run up and drop the anchor, so we would not impact the bridge, but with the anchor dropped, we were still being blown back into the channel.
At this location the ICW is maybe 3 boat-lengths wide with concrete sea walls on both sides. My rapid work on the engine was not having any luck, and we only had 30 minutes to the next opening. I checked the wind direction, and determined that I could probably sail south on the ICW if I did a lot of jibes. We pulled anchor and unfurled the head sail. Sailed back south to the first open stretch of water (Lake Santa Barbara), and re-anchored out of the way there. This was my first experience trying to sail in such a limited space. While it turned out to be reasonably doable, and I was never in any danger of collision or grounding, I would not wish to do this on a regular basis.
Murphy steps in whenever he sees an opportunity. I am just glad we were prepared enough to handle it.