Why not try the autoimmune protocol diet? Very restrictive but it got me on the right path. There are tons of info on the web to help you but I basically ate meat and certain fruits and vegetables for about 3 months. This diet and working with my functional medicine doctor fixed my gut. My other symptoms decreased immensely in severity.
Just a side note, I also have Sjogerns. I started taking MK-7 at a dosage of 182 mcg a day for osteoporosis. I’ve noticed that my mouth is not as dry.