have you tried your local street corner. They aren't organic but they are something.
I found several companies that offer organic bedding, using Bing search. My guess, after looking at a couple of websites, is that I might lean toward using organic bedding if I had allergies or were sensitive to the bedding that I was currently using.
Many people want to go organic, in foods, bedding, etc., because they believe it's better for their skin and their health. So, my thought is to do a little research to see if why you're considering it lines up with your research.