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I would check with St. Martin Parish Tourist Commission and see if there any issues upon arriving.
In October 7 there is a Tour Du Teche Kayak race, and in News section you can see that there are festivals that will take place around November-December 2016.
Adding to @Johns-305 the bayou does flood every year and they have systems to clear out the water and restore the water level. Also, November is part of the dry season, and there is almost no rain.
Breaux Bridge have several lovely sites to see, I lived in Baton Rouge for several years and it was one our favorite weekend getaways.
Just a lagniappe (little something extra): Cafe Des Amis. You must arrive at Saturday morning. They have Zydeco Breakfast with live Band. Make sure you stand at the door as early as 7:30AM to get in.
Upvote:3
Consider that, ecologically, the bayou flooding is not uncommon. Really, flooding is what makes it a bayou in the first place so a flood certainly can't destroy a swamp.
The Breaux Bridge city web site or tourism Facebook give no indication flood issues. You can always call them with any questions.
I wouldn't let the recent event affect a trip 4 months away.