just because you dont have celiac doesnt mean you're not sensitive to gluten. Its definitely IBS, but thats not really saying much. You have to try and figure out what is causing the reactions. From my experience, doctors are pretty clueless when its comes to these types of disorders. unless you have celiac, crohs, or colitis, they call it IBS, wish u well, and send you on your way.
Here are my suggestions: First; eat clean. Cut out all the stomach irritants and hard to digest foods (gluten, dairy, soy, red meat, coffee). Second; keep a food journal of everything you eat/drink as well as how your bowel movements are. See if you can see any correlation to a specific food. Third; get yourself a strong probiotic (at least 7 strains and 30 billion cultures).
Doing this should help.