Wow, what an honor! And it is quite ironic because I live about one mile from the Red River, just north of Shreveport.
Your rendition of the song reminds me of the version done by Bee Bumble & The Stingers, called "Red River Rock". The lead was done on a sax and twangy quitar. I can recall doing it when I was in college in the late 60's. I posted a midi version on the Yamaha Song group sometime last year!
I like your arrangement and the vocal parts were great. I can't help but think what a great version of "The Lion Sleeps Tonight" you could do on that thing. The "A-wee-ma-ways" would sound wonderful.
DonM