I've been working at this, too. Based on past comments and my own ears, this is what I come up with:

Hey Beau, let's go and get Perot [or pirogue] and push-pole down the bayou,
I want to see the Christmas Tree, dance [au pair doro].
Have a big time and cut a shine, where all will be gay-o
Oh, Santa Claus will come tonight, down on the bayou

Papa Noel will [b]ring the bells and all will be gay-o
I'm gonna be at the Christmas tree with my ma cher ami-o
So ring the chimes, it's Christmas time and pick the old banjo
Oh, Santa Claus will come tonight, down on the bayou

Instrumental interlude

See [ma nu man?] and Martha Anne, I know they'll all be there-o,
See old [Crit Coon] and [Mamoun], Bébé and Jo-Jo,
See Jolivet oh my sweet pet and get me some sugar,
Oh, Santa Claus will come tonight, down on the bayou

So roll the rug, let's kiss and hug and let's all be gay-o,
A merry Christmas to you all and a happy bonne année-o
I'm gonna dance all through the night, 'til daylight with my babe-o,
Oh, Santa Claus will come tonight, down on the bayou

Instrumental interlude

Diane wants a [pushiaun: what's Cajun French for a push toy?], a pistolette and yo-yo,
My Jolivet, oh my sweet pet, Lord cher ami-o,
Oh Auntie Luce will cook the goose, and she will serve the gumbo,
Oh, Santa Claus will come tonight, down on the bayou

Papa Noel will bring the bells and all will be gay-o
I'm gonna be at the Christmas tree with my ma cher ami-o
So ring the chimes, it's Christmas time and pick the old banjo
Oh, Santa Claus will come tonight, down on the bayou