$12 Dixie versus a beer? I'll take beer.
For the $12 price of a bottle of Dixie Elixirs Sweet Tea (the only one I think would "pair", taste-wise, with a hamburger,) I could have two beers with my burger, and still be under the legal limit for driving.
For the $12 price of a bottle of any other Dixie Elixirs flavor, plus two or three bucks, I could buy twelve bottles of Blue Moon (or beer/ale of your choice,) and have an ice cold beer every night after work for nearly two weeks.
Now if I was looking at it as medicine, then Dixie would be an obvious choice over beer, and would be worth the price.
But as a "relaxation aid"? Way too expensive, unless one wants to be stoned.