Calling 911 is useless, they can't find you as their GPS is cut rate and only has major roads, and they are in the wrong spots anyhow. Plus the redundant names of the streets hurts your chances of any help - there are 17 variants of Pine: Pine Lane, Pine Street, Pinewood, etc, in my town alone.

The swiftwater rescue team is an option, unless it is sunny out. They only work on rainy days. And if it is raining, they are probably busy, but call anyhow, they love to show off their gear.

I would backtrack 180 degrees from my original course, correcting for map errors and adjusting for true versus magnetic north as I went, realizing that my right leg is dominant and correcting for drift to the left, using my pace count adjusted for terrain and gear load- until I could find a way around the puddle obstacle. If this means circumnavigating the globe, so be it. Better safe and tired than sorry and wet. Bear Grylls I am not, I lack a film crew and a Holiday Inn Express.

Off topic - if you could walk around the equator, and were 6 feet tall, your head would travel about 40 feet farther in relative distance than your feet. As your head is higher, it has a "higher" orbit and travels farther. Just a rather odd strange and totally useless factoid